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Finding the Fourth Proportional to 74,414.16, 111,640.56 and 24,502

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Solution

The fourth proportional to 74,414.16, 111,640.56 and 24,502 is: 36,759.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,414.16 : 111,640.56 = 24,502 : x
  2. Step 2: Convert to fraction form
    74,414.16/111,640.56 = 24,502/x
  3. Step 3: Cross multiply
    74,414.16x = 111,640.56 × 24,502
  4. Step 4: Simplify right side
    74,414.16x = 2,735,417,001.12
  5. Step 5: Solve for x
    x = 2,735,417,001.12/74,414.16
  6. Step 6: Final answer
    x = 36,759.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.