Final answer:
The synonym that corresponds to 'ludicrous parody' and a bawdy type of entertainment is 'burlesque'. Burlesque incorporates comedy, parody, and often sensuality, distinguishing it from farce or satire.
Step-by-step explanation:
The synonym for "ludicrous parody" and the bawdy type of entertainment that includes elements of comedy and theatrical performance is burlesque. Burlesque can be in the form of variety shows similar to vaudeville, and it is known for combining satirical elements, exaggerated performances, and sometimes bawdy content. This form of entertainment became particularly popular at the turn of the century, where the shows might feature sketch comedy, music, and burlesque dancers. Unlike farce, which heavily relies on slapstick comedy and improbable situations, or satire, which uses humor to criticize vice or foolishness, burlesque focuses more on parody through exaggeration and sensual entertainment.