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Finding the Fourth Proportional to 31,447.71, 47,172.87 and 10,102.59

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Solution

The fourth proportional to 31,447.71, 47,172.87 and 10,102.59 is: 15,154.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,447.71 : 47,172.87 = 10,102.59 : x
  2. Step 2: Convert to fraction form
    31,447.71/47,172.87 = 10,102.59/x
  3. Step 3: Cross multiply
    31,447.71x = 47,172.87 × 10,102.59
  4. Step 4: Simplify right side
    31,447.71x = 476,568,164.73
  5. Step 5: Solve for x
    x = 476,568,164.73/31,447.71
  6. Step 6: Final answer
    x = 15,154.30

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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.