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Finding the Fourth Proportional to 41,398, 57,129.24 and 22,535.28

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Solution

The fourth proportional to 41,398, 57,129.24 and 22,535.28 is: 31,098.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,398 : 57,129.24 = 22,535.28 : x
  2. Step 2: Convert to fraction form
    41,398/57,129.24 = 22,535.28/x
  3. Step 3: Cross multiply
    41,398x = 57,129.24 × 22,535.28
  4. Step 4: Simplify right side
    41,398x = 1,287,423,419.59
  5. Step 5: Solve for x
    x = 1,287,423,419.59/41,398
  6. Step 6: Final answer
    x = 31,098.69

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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.