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Finding the Fourth Proportional to 71,609.89, 107,414.15 and 43,537.70

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Solution

The fourth proportional to 71,609.89, 107,414.15 and 43,537.70 is: 65,306.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,609.89 : 107,414.15 = 43,537.70 : x
  2. Step 2: Convert to fraction form
    71,609.89/107,414.15 = 43,537.70/x
  3. Step 3: Cross multiply
    71,609.89x = 107,414.15 × 43,537.70
  4. Step 4: Simplify right side
    71,609.89x = 4,676,564,610.23
  5. Step 5: Solve for x
    x = 4,676,564,610.23/71,609.89
  6. Step 6: Final answer
    x = 65,306.13

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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.