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Finding the Fourth Proportional to 31,441.43, 47,162.18 and 8,067.87

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Solution

The fourth proportional to 31,441.43, 47,162.18 and 8,067.87 is: 12,101.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,441.43 : 47,162.18 = 8,067.87 : x
  2. Step 2: Convert to fraction form
    31,441.43/47,162.18 = 8,067.87/x
  3. Step 3: Cross multiply
    31,441.43x = 47,162.18 × 8,067.87
  4. Step 4: Simplify right side
    31,441.43x = 380,498,357.33
  5. Step 5: Solve for x
    x = 380,498,357.33/31,441.43
  6. Step 6: Final answer
    x = 12,101.81

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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.