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Finding the Fourth Proportional to 71,251.60, 106,862.82 and 24,508.12

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Solution

The fourth proportional to 71,251.60, 106,862.82 and 24,508.12 is: 36,757.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,251.60 : 106,862.82 = 24,508.12 : x
  2. Step 2: Convert to fraction form
    71,251.60/106,862.82 = 24,508.12/x
  3. Step 3: Cross multiply
    71,251.60x = 106,862.82 × 24,508.12
  4. Step 4: Simplify right side
    71,251.60x = 2,619,006,816.10
  5. Step 5: Solve for x
    x = 2,619,006,816.10/71,251.60
  6. Step 6: Final answer
    x = 36,757.16

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Why These Related Problems?

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