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Finding the Fourth Proportional to 31,500.82, 43,471.04 and 17,353.68

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Solution

The fourth proportional to 31,500.82, 43,471.04 and 17,353.68 is: 23,948.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,500.82 : 43,471.04 = 17,353.68 : x
  2. Step 2: Convert to fraction form
    31,500.82/43,471.04 = 17,353.68/x
  3. Step 3: Cross multiply
    31,500.82x = 43,471.04 × 17,353.68
  4. Step 4: Simplify right side
    31,500.82x = 754,382,517.43
  5. Step 5: Solve for x
    x = 754,382,517.43/31,500.82
  6. Step 6: Final answer
    x = 23,948.03

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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.