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Finding the Fourth Proportional to 71,635.67, 107,447.31 and 24,249.74

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Solution

The fourth proportional to 71,635.67, 107,447.31 and 24,249.74 is: 36,372.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,635.67 : 107,447.31 = 24,249.74 : x
  2. Step 2: Convert to fraction form
    71,635.67/107,447.31 = 24,249.74/x
  3. Step 3: Cross multiply
    71,635.67x = 107,447.31 × 24,249.74
  4. Step 4: Simplify right side
    71,635.67x = 2,605,569,331.20
  5. Step 5: Solve for x
    x = 2,605,569,331.20/71,635.67
  6. Step 6: Final answer
    x = 36,372.51

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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.