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Finding the Fourth Proportional to 90,691.33, 135,959.09 and 31,519.32

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Solution

The fourth proportional to 90,691.33, 135,959.09 and 31,519.32 is: 47,251.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,691.33 : 135,959.09 = 31,519.32 : x
  2. Step 2: Convert to fraction form
    90,691.33/135,959.09 = 31,519.32/x
  3. Step 3: Cross multiply
    90,691.33x = 135,959.09 × 31,519.32
  4. Step 4: Simplify right side
    90,691.33x = 4,285,338,064.62
  5. Step 5: Solve for x
    x = 4,285,338,064.62/90,691.33
  6. Step 6: Final answer
    x = 47,251.90

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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.