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Finding the Fourth Proportional to 31,591.26, 47,383.02 and 8,217.18

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Solution

The fourth proportional to 31,591.26, 47,383.02 and 8,217.18 is: 12,324.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,591.26 : 47,383.02 = 8,217.18 : x
  2. Step 2: Convert to fraction form
    31,591.26/47,383.02 = 8,217.18/x
  3. Step 3: Cross multiply
    31,591.26x = 47,383.02 × 8,217.18
  4. Step 4: Simplify right side
    31,591.26x = 389,354,804.28
  5. Step 5: Solve for x
    x = 389,354,804.28/31,591.26
  6. Step 6: Final answer
    x = 12,324.76

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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.