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Finding the Fourth Proportional to 71,065.38, 106,481.42 and 24,292.74

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Solution

The fourth proportional to 71,065.38, 106,481.42 and 24,292.74 is: 36,399.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,065.38 : 106,481.42 = 24,292.74 : x
  2. Step 2: Convert to fraction form
    71,065.38/106,481.42 = 24,292.74/x
  3. Step 3: Cross multiply
    71,065.38x = 106,481.42 × 24,292.74
  4. Step 4: Simplify right side
    71,065.38x = 2,586,725,450.89
  5. Step 5: Solve for x
    x = 2,586,725,450.89/71,065.38
  6. Step 6: Final answer
    x = 36,399.23

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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.