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Finding the Fourth Proportional to 54,076.20, 74,627.28 and 31,414.92

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Solution

The fourth proportional to 54,076.20, 74,627.28 and 31,414.92 is: 43,353.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,076.20 : 74,627.28 = 31,414.92 : x
  2. Step 2: Convert to fraction form
    54,076.20/74,627.28 = 31,414.92/x
  3. Step 3: Cross multiply
    54,076.20x = 74,627.28 × 31,414.92
  4. Step 4: Simplify right side
    54,076.20x = 2,344,410,031.02
  5. Step 5: Solve for x
    x = 2,344,410,031.02/54,076.20
  6. Step 6: Final answer
    x = 43,353.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.