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Finding the Fourth Proportional to 71,609.31, 107,463.28 and 24,862.19

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Solution

The fourth proportional to 71,609.31, 107,463.28 and 24,862.19 is: 37,310.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,609.31 : 107,463.28 = 24,862.19 : x
  2. Step 2: Convert to fraction form
    71,609.31/107,463.28 = 24,862.19/x
  3. Step 3: Cross multiply
    71,609.31x = 107,463.28 × 24,862.19
  4. Step 4: Simplify right side
    71,609.31x = 2,671,772,485.38
  5. Step 5: Solve for x
    x = 2,671,772,485.38/71,609.31
  6. Step 6: Final answer
    x = 37,310.41

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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.