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Finding the Fourth Proportional to 20,731.50, 31,097.16 and 5,149.14

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Solution

The fourth proportional to 20,731.50, 31,097.16 and 5,149.14 is: 7,723.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,731.50 : 31,097.16 = 5,149.14 : x
  2. Step 2: Convert to fraction form
    20,731.50/31,097.16 = 5,149.14/x
  3. Step 3: Cross multiply
    20,731.50x = 31,097.16 × 5,149.14
  4. Step 4: Simplify right side
    20,731.50x = 160,123,630.44
  5. Step 5: Solve for x
    x = 160,123,630.44/20,731.50
  6. Step 6: Final answer
    x = 7,723.69

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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.