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Finding the Fourth Proportional to 37,982.38, 52,411.17 and 22,874.80

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Solution

The fourth proportional to 37,982.38, 52,411.17 and 22,874.80 is: 31,564.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,982.38 : 52,411.17 = 22,874.80 : x
  2. Step 2: Convert to fraction form
    37,982.38/52,411.17 = 22,874.80/x
  3. Step 3: Cross multiply
    37,982.38x = 52,411.17 × 22,874.80
  4. Step 4: Simplify right side
    37,982.38x = 1,198,895,031.52
  5. Step 5: Solve for x
    x = 1,198,895,031.52/37,982.38
  6. Step 6: Final answer
    x = 31,564.51

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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.