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Finding the Fourth Proportional to 31,841.13, 47,761.65 and 8,467.57

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Solution

The fourth proportional to 31,841.13, 47,761.65 and 8,467.57 is: 12,701.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,841.13 : 47,761.65 = 8,467.57 : x
  2. Step 2: Convert to fraction form
    31,841.13/47,761.65 = 8,467.57/x
  3. Step 3: Cross multiply
    31,841.13x = 47,761.65 × 8,467.57
  4. Step 4: Simplify right side
    31,841.13x = 404,425,174.39
  5. Step 5: Solve for x
    x = 404,425,174.39/31,841.13
  6. Step 6: Final answer
    x = 12,701.34

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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.