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Finding the Fourth Proportional to 67,427.92, 101,273.12 and 54,957.16

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Solution

The fourth proportional to 67,427.92, 101,273.12 and 54,957.16 is: 82,542.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,427.92 : 101,273.12 = 54,957.16 : x
  2. Step 2: Convert to fraction form
    67,427.92/101,273.12 = 54,957.16/x
  3. Step 3: Cross multiply
    67,427.92x = 101,273.12 × 54,957.16
  4. Step 4: Simplify right side
    67,427.92x = 5,565,683,059.54
  5. Step 5: Solve for x
    x = 5,565,683,059.54/67,427.92
  6. Step 6: Final answer
    x = 82,542.71

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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.