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Finding the Fourth Proportional to 31,791.65, 47,689.10 and 10,732.46

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Solution

The fourth proportional to 31,791.65, 47,689.10 and 10,732.46 is: 16,099.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,791.65 : 47,689.10 = 10,732.46 : x
  2. Step 2: Convert to fraction form
    31,791.65/47,689.10 = 10,732.46/x
  3. Step 3: Cross multiply
    31,791.65x = 47,689.10 × 10,732.46
  4. Step 4: Simplify right side
    31,791.65x = 511,821,358.19
  5. Step 5: Solve for x
    x = 511,821,358.19/31,791.65
  6. Step 6: Final answer
    x = 16,099.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.