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Finding the Fourth Proportional to 50,538.80, 69,748.32 and 29,031.56

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Solution

The fourth proportional to 50,538.80, 69,748.32 and 29,031.56 is: 40,066.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,538.80 : 69,748.32 = 29,031.56 : x
  2. Step 2: Convert to fraction form
    50,538.80/69,748.32 = 29,031.56/x
  3. Step 3: Cross multiply
    50,538.80x = 69,748.32 × 29,031.56
  4. Step 4: Simplify right side
    50,538.80x = 2,024,902,536.98
  5. Step 5: Solve for x
    x = 2,024,902,536.98/50,538.80
  6. Step 6: Final answer
    x = 40,066.30

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.