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Finding the Fourth Proportional to 41,451.38, 57,202.91 and 22,588.50

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Solution

The fourth proportional to 41,451.38, 57,202.91 and 22,588.50 is: 31,172.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,451.38 : 57,202.91 = 22,588.50 : x
  2. Step 2: Convert to fraction form
    41,451.38/57,202.91 = 22,588.50/x
  3. Step 3: Cross multiply
    41,451.38x = 57,202.91 × 22,588.50
  4. Step 4: Simplify right side
    41,451.38x = 1,292,127,819.59
  5. Step 5: Solve for x
    x = 1,292,127,819.59/41,451.38
  6. Step 6: Final answer
    x = 31,172.13

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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.