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Finding the Fourth Proportional to 31,882.20, 47,825.10 and 9,696.30

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Solution

The fourth proportional to 31,882.20, 47,825.10 and 9,696.30 is: 14,545.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,882.20 : 47,825.10 = 9,696.30 : x
  2. Step 2: Convert to fraction form
    31,882.20/47,825.10 = 9,696.30/x
  3. Step 3: Cross multiply
    31,882.20x = 47,825.10 × 9,696.30
  4. Step 4: Simplify right side
    31,882.20x = 463,726,517.13
  5. Step 5: Solve for x
    x = 463,726,517.13/31,882.20
  6. Step 6: Final answer
    x = 14,545.00

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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.