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Finding the Fourth Proportional to 32,633.28, 48,947.31 and 10,440.66

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Solution

The fourth proportional to 32,633.28, 48,947.31 and 10,440.66 is: 15,660.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,633.28 : 48,947.31 = 10,440.66 : x
  2. Step 2: Convert to fraction form
    32,633.28/48,947.31 = 10,440.66/x
  3. Step 3: Cross multiply
    32,633.28x = 48,947.31 × 10,440.66
  4. Step 4: Simplify right side
    32,633.28x = 511,042,221.62
  5. Step 5: Solve for x
    x = 511,042,221.62/32,633.28
  6. Step 6: Final answer
    x = 15,660.15

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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.