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Finding the Fourth Proportional to 48,128, 72,159.24 and 29,414.60

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Solution

The fourth proportional to 48,128, 72,159.24 and 29,414.60 is: 44,101.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,128 : 72,159.24 = 29,414.60 : x
  2. Step 2: Convert to fraction form
    48,128/72,159.24 = 29,414.60/x
  3. Step 3: Cross multiply
    48,128x = 72,159.24 × 29,414.60
  4. Step 4: Simplify right side
    48,128x = 2,122,535,180.90
  5. Step 5: Solve for x
    x = 2,122,535,180.90/48,128
  6. Step 6: Final answer
    x = 44,101.88

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