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Finding the Fourth Proportional to 31,716.72, 47,575.50 and 15,078.42

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Solution

The fourth proportional to 31,716.72, 47,575.50 and 15,078.42 is: 22,617.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,716.72 : 47,575.50 = 15,078.42 : x
  2. Step 2: Convert to fraction form
    31,716.72/47,575.50 = 15,078.42/x
  3. Step 3: Cross multiply
    31,716.72x = 47,575.50 × 15,078.42
  4. Step 4: Simplify right side
    31,716.72x = 717,363,370.71
  5. Step 5: Solve for x
    x = 717,363,370.71/31,716.72
  6. Step 6: Final answer
    x = 22,617.83

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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.