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Finding the Fourth Proportional to 41,456.38, 57,209.70 and 22,593.46

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Solution

The fourth proportional to 41,456.38, 57,209.70 and 22,593.46 is: 31,178.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,456.38 : 57,209.70 = 22,593.46 : x
  2. Step 2: Convert to fraction form
    41,456.38/57,209.70 = 22,593.46/x
  3. Step 3: Cross multiply
    41,456.38x = 57,209.70 × 22,593.46
  4. Step 4: Simplify right side
    41,456.38x = 1,292,565,068.56
  5. Step 5: Solve for x
    x = 1,292,565,068.56/41,456.38
  6. Step 6: Final answer
    x = 31,178.92

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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.