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Finding the Fourth Proportional to 31,422.75, 47,134.14 and 8,049.21

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Solution

The fourth proportional to 31,422.75, 47,134.14 and 8,049.21 is: 12,073.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,422.75 : 47,134.14 = 8,049.21 : x
  2. Step 2: Convert to fraction form
    31,422.75/47,134.14 = 8,049.21/x
  3. Step 3: Cross multiply
    31,422.75x = 47,134.14 × 8,049.21
  4. Step 4: Simplify right side
    31,422.75x = 379,392,591.03
  5. Step 5: Solve for x
    x = 379,392,591.03/31,422.75
  6. Step 6: Final answer
    x = 12,073.82

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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.