Final answer:
During the prosperous 1920s, the agricultural industry struggled due to overproduction, falling prices, droughts, and the stock market crash.
Step-by-step explanation:
In the prosperous 1920s, the industry that struggled was agriculture. Although the 1920s is often seen as a time of economic growth and prosperity in the United States, the agricultural sector faced significant challenges. The introduction of new technologies and mechanization led to overproduction, which resulted in falling prices for crops. Additionally, a series of severe droughts and the stock market crash in 1929 further exacerbated the difficulties in the agricultural industry.
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