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Finding the Fourth Proportional to 54,102.74, 80,951.12 and 44,747.16

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Solution

The fourth proportional to 54,102.74, 80,951.12 and 44,747.16 is: 66,952.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,102.74 : 80,951.12 = 44,747.16 : x
  2. Step 2: Convert to fraction form
    54,102.74/80,951.12 = 44,747.16/x
  3. Step 3: Cross multiply
    54,102.74x = 80,951.12 × 44,747.16
  4. Step 4: Simplify right side
    54,102.74x = 3,622,332,712.84
  5. Step 5: Solve for x
    x = 3,622,332,712.84/54,102.74
  6. Step 6: Final answer
    x = 66,952.86

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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.