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Finding the Fourth Proportional to 31,826.92, 47,753.88 and 17,032

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Solution

The fourth proportional to 31,826.92, 47,753.88 and 17,032 is: 25,555.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,826.92 : 47,753.88 = 17,032 : x
  2. Step 2: Convert to fraction form
    31,826.92/47,753.88 = 17,032/x
  3. Step 3: Cross multiply
    31,826.92x = 47,753.88 × 17,032
  4. Step 4: Simplify right side
    31,826.92x = 813,344,084.16
  5. Step 5: Solve for x
    x = 813,344,084.16/31,826.92
  6. Step 6: Final answer
    x = 25,555.22

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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.