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Finding the Fourth Proportional to 40,013.78, 60,082.32 and 33,854.72

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Solution

The fourth proportional to 40,013.78, 60,082.32 and 33,854.72 is: 50,834.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,013.78 : 60,082.32 = 33,854.72 : x
  2. Step 2: Convert to fraction form
    40,013.78/60,082.32 = 33,854.72/x
  3. Step 3: Cross multiply
    40,013.78x = 60,082.32 × 33,854.72
  4. Step 4: Simplify right side
    40,013.78x = 2,034,070,120.55
  5. Step 5: Solve for x
    x = 2,034,070,120.55/40,013.78
  6. Step 6: Final answer
    x = 50,834.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.