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Finding the Fourth Proportional to 31,591.14, 47,386.77 and 8,217.54

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Solution

The fourth proportional to 31,591.14, 47,386.77 and 8,217.54 is: 12,326.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,591.14 : 47,386.77 = 8,217.54 : x
  2. Step 2: Convert to fraction form
    31,591.14/47,386.77 = 8,217.54/x
  3. Step 3: Cross multiply
    31,591.14x = 47,386.77 × 8,217.54
  4. Step 4: Simplify right side
    31,591.14x = 389,402,677.95
  5. Step 5: Solve for x
    x = 389,402,677.95/31,591.14
  6. Step 6: Final answer
    x = 12,326.33

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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.