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Finding the Fourth Proportional to 31,414.74, 47,119.80 and 9,229.85

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Solution

The fourth proportional to 31,414.74, 47,119.80 and 9,229.85 is: 13,844.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,414.74 : 47,119.80 = 9,229.85 : x
  2. Step 2: Convert to fraction form
    31,414.74/47,119.80 = 9,229.85/x
  3. Step 3: Cross multiply
    31,414.74x = 47,119.80 × 9,229.85
  4. Step 4: Simplify right side
    31,414.74x = 434,908,686.03
  5. Step 5: Solve for x
    x = 434,908,686.03/31,414.74
  6. Step 6: Final answer
    x = 13,844.10

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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.