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Finding the Fourth Proportional to 31,882.71, 43,998.12 and 17,735.25

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Solution

The fourth proportional to 31,882.71, 43,998.12 and 17,735.25 is: 24,474.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,882.71 : 43,998.12 = 17,735.25 : x
  2. Step 2: Convert to fraction form
    31,882.71/43,998.12 = 17,735.25/x
  3. Step 3: Cross multiply
    31,882.71x = 43,998.12 × 17,735.25
  4. Step 4: Simplify right side
    31,882.71x = 780,317,657.73
  5. Step 5: Solve for x
    x = 780,317,657.73/31,882.71
  6. Step 6: Final answer
    x = 24,474.63

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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.