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Finding the Fourth Proportional to 71,372.60, 98,494.98 and 39,542

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Solution

The fourth proportional to 71,372.60, 98,494.98 and 39,542 is: 54,568.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,372.60 : 98,494.98 = 39,542 : x
  2. Step 2: Convert to fraction form
    71,372.60/98,494.98 = 39,542/x
  3. Step 3: Cross multiply
    71,372.60x = 98,494.98 × 39,542
  4. Step 4: Simplify right side
    71,372.60x = 3,894,688,499.16
  5. Step 5: Solve for x
    x = 3,894,688,499.16/71,372.60
  6. Step 6: Final answer
    x = 54,568.40

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Why These Related Problems?

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