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Finding the Fourth Proportional to 51,489.54, 71,034.24 and 31,343.61

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Solution

The fourth proportional to 51,489.54, 71,034.24 and 31,343.61 is: 43,241.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,489.54 : 71,034.24 = 31,343.61 : x
  2. Step 2: Convert to fraction form
    51,489.54/71,034.24 = 31,343.61/x
  3. Step 3: Cross multiply
    51,489.54x = 71,034.24 × 31,343.61
  4. Step 4: Simplify right side
    51,489.54x = 2,226,469,515.21
  5. Step 5: Solve for x
    x = 2,226,469,515.21/51,489.54
  6. Step 6: Final answer
    x = 43,241.20

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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.