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Finding the Fourth Proportional to 31,425.46, 47,138.62 and 10,367.68

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Solution

The fourth proportional to 31,425.46, 47,138.62 and 10,367.68 is: 15,551.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,425.46 : 47,138.62 = 10,367.68 : x
  2. Step 2: Convert to fraction form
    31,425.46/47,138.62 = 10,367.68/x
  3. Step 3: Cross multiply
    31,425.46x = 47,138.62 × 10,367.68
  4. Step 4: Simplify right side
    31,425.46x = 488,718,127.80
  5. Step 5: Solve for x
    x = 488,718,127.80/31,425.46
  6. Step 6: Final answer
    x = 15,551.66

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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.