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Finding the Fourth Proportional to 31,634.28, 47,459.34 and 9,447.57

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Solution

The fourth proportional to 31,634.28, 47,459.34 and 9,447.57 is: 14,173.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,634.28 : 47,459.34 = 9,447.57 : x
  2. Step 2: Convert to fraction form
    31,634.28/47,459.34 = 9,447.57/x
  3. Step 3: Cross multiply
    31,634.28x = 47,459.34 × 9,447.57
  4. Step 4: Simplify right side
    31,634.28x = 448,375,436.80
  5. Step 5: Solve for x
    x = 448,375,436.80/31,634.28
  6. Step 6: Final answer
    x = 14,173.72

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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.