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Finding the Fourth Proportional to 41,436, 62,154.18 and 13,734

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Solution

The fourth proportional to 41,436, 62,154.18 and 13,734 is: 20,601.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,436 : 62,154.18 = 13,734 : x
  2. Step 2: Convert to fraction form
    41,436/62,154.18 = 13,734/x
  3. Step 3: Cross multiply
    41,436x = 62,154.18 × 13,734
  4. Step 4: Simplify right side
    41,436x = 853,625,508.12
  5. Step 5: Solve for x
    x = 853,625,508.12/41,436
  6. Step 6: Final answer
    x = 20,601.06

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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.