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Finding the Fourth Proportional to 31,832.10, 47,760.44 and 9,645.66

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Solution

The fourth proportional to 31,832.10, 47,760.44 and 9,645.66 is: 14,472.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,832.10 : 47,760.44 = 9,645.66 : x
  2. Step 2: Convert to fraction form
    31,832.10/47,760.44 = 9,645.66/x
  3. Step 3: Cross multiply
    31,832.10x = 47,760.44 × 9,645.66
  4. Step 4: Simplify right side
    31,832.10x = 460,680,917.46
  5. Step 5: Solve for x
    x = 460,680,917.46/31,832.10
  6. Step 6: Final answer
    x = 14,472.21

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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.