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Finding the Fourth Proportional to 31,500.56, 43,471.14 and 17,353.64

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Solution

The fourth proportional to 31,500.56, 43,471.14 and 17,353.64 is: 23,948.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,500.56 : 43,471.14 = 17,353.64 : x
  2. Step 2: Convert to fraction form
    31,500.56/43,471.14 = 17,353.64/x
  3. Step 3: Cross multiply
    31,500.56x = 43,471.14 × 17,353.64
  4. Step 4: Simplify right side
    31,500.56x = 754,382,513.95
  5. Step 5: Solve for x
    x = 754,382,513.95/31,500.56
  6. Step 6: Final answer
    x = 23,948.23

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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.