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Finding the Fourth Proportional to 31,517.29, 47,259.82 and 10,449.73

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Solution

The fourth proportional to 31,517.29, 47,259.82 and 10,449.73 is: 15,669.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,517.29 : 47,259.82 = 10,449.73 : x
  2. Step 2: Convert to fraction form
    31,517.29/47,259.82 = 10,449.73/x
  3. Step 3: Cross multiply
    31,517.29x = 47,259.82 × 10,449.73
  4. Step 4: Simplify right side
    31,517.29x = 493,852,358.85
  5. Step 5: Solve for x
    x = 493,852,358.85/31,517.29
  6. Step 6: Final answer
    x = 15,669.25

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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.