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Finding the Fourth Proportional to 51,890.38, 71,614.12 and 31,760.68

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Solution

The fourth proportional to 51,890.38, 71,614.12 and 31,760.68 is: 43,833.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,890.38 : 71,614.12 = 31,760.68 : x
  2. Step 2: Convert to fraction form
    51,890.38/71,614.12 = 31,760.68/x
  3. Step 3: Cross multiply
    51,890.38x = 71,614.12 × 31,760.68
  4. Step 4: Simplify right side
    51,890.38x = 2,274,513,148.80
  5. Step 5: Solve for x
    x = 2,274,513,148.80/51,890.38
  6. Step 6: Final answer
    x = 43,833.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.