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Finding the Fourth Proportional to 36,098.40, 54,082.80 and 31,951.20

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Solution

The fourth proportional to 36,098.40, 54,082.80 and 31,951.20 is: 47,869.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,098.40 : 54,082.80 = 31,951.20 : x
  2. Step 2: Convert to fraction form
    36,098.40/54,082.80 = 31,951.20/x
  3. Step 3: Cross multiply
    36,098.40x = 54,082.80 × 31,951.20
  4. Step 4: Simplify right side
    36,098.40x = 1,728,010,359.36
  5. Step 5: Solve for x
    x = 1,728,010,359.36/36,098.40
  6. Step 6: Final answer
    x = 47,869.44

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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.