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Finding the Fourth Proportional to 31,412.97, 47,121.22 and 10,067.54

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Solution

The fourth proportional to 31,412.97, 47,121.22 and 10,067.54 is: 15,101.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,412.97 : 47,121.22 = 10,067.54 : x
  2. Step 2: Convert to fraction form
    31,412.97/47,121.22 = 10,067.54/x
  3. Step 3: Cross multiply
    31,412.97x = 47,121.22 × 10,067.54
  4. Step 4: Simplify right side
    31,412.97x = 474,394,742.03
  5. Step 5: Solve for x
    x = 474,394,742.03/31,412.97
  6. Step 6: Final answer
    x = 15,101.88

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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.