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Finding the Fourth Proportional to 54,882.60, 82,311.57 and 32,702.28

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Solution

The fourth proportional to 54,882.60, 82,311.57 and 32,702.28 is: 49,046.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,882.60 : 82,311.57 = 32,702.28 : x
  2. Step 2: Convert to fraction form
    54,882.60/82,311.57 = 32,702.28/x
  3. Step 3: Cross multiply
    54,882.60x = 82,311.57 × 32,702.28
  4. Step 4: Simplify right side
    54,882.60x = 2,691,776,009.38
  5. Step 5: Solve for x
    x = 2,691,776,009.38/54,882.60
  6. Step 6: Final answer
    x = 49,046.07

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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.