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Finding the Fourth Proportional to 41,398.38, 57,129.77 and 22,535.50

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Solution

The fourth proportional to 41,398.38, 57,129.77 and 22,535.50 is: 31,098.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,398.38 : 57,129.77 = 22,535.50 : x
  2. Step 2: Convert to fraction form
    41,398.38/57,129.77 = 22,535.50/x
  3. Step 3: Cross multiply
    41,398.38x = 57,129.77 × 22,535.50
  4. Step 4: Simplify right side
    41,398.38x = 1,287,447,931.84
  5. Step 5: Solve for x
    x = 1,287,447,931.84/41,398.38
  6. Step 6: Final answer
    x = 31,098.99

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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.