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Finding the Fourth Proportional to 31,562.69, 43,557.80 and 18,138.15

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Solution

The fourth proportional to 31,562.69, 43,557.80 and 18,138.15 is: 25,031.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,562.69 : 43,557.80 = 18,138.15 : x
  2. Step 2: Convert to fraction form
    31,562.69/43,557.80 = 18,138.15/x
  3. Step 3: Cross multiply
    31,562.69x = 43,557.80 × 18,138.15
  4. Step 4: Simplify right side
    31,562.69x = 790,057,819.38
  5. Step 5: Solve for x
    x = 790,057,819.38/31,562.69
  6. Step 6: Final answer
    x = 25,031.39

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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.