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Finding the Fourth Proportional to 31,772.75, 47,659.13 and 8,399.19

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Solution

The fourth proportional to 31,772.75, 47,659.13 and 8,399.19 is: 12,598.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,772.75 : 47,659.13 = 8,399.19 : x
  2. Step 2: Convert to fraction form
    31,772.75/47,659.13 = 8,399.19/x
  3. Step 3: Cross multiply
    31,772.75x = 47,659.13 × 8,399.19
  4. Step 4: Simplify right side
    31,772.75x = 400,298,046.11
  5. Step 5: Solve for x
    x = 400,298,046.11/31,772.75
  6. Step 6: Final answer
    x = 12,598.79

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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.