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Finding the Fourth Proportional to 31,447.46, 47,161.58 and 8,959.97

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Solution

The fourth proportional to 31,447.46, 47,161.58 and 8,959.97 is: 13,437.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,447.46 : 47,161.58 = 8,959.97 : x
  2. Step 2: Convert to fraction form
    31,447.46/47,161.58 = 8,959.97/x
  3. Step 3: Cross multiply
    31,447.46x = 47,161.58 × 8,959.97
  4. Step 4: Simplify right side
    31,447.46x = 422,566,061.34
  5. Step 5: Solve for x
    x = 422,566,061.34/31,447.46
  6. Step 6: Final answer
    x = 13,437.21

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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.