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Finding the Fourth Proportional to 42,138.38, 58,162.14 and 26,213.78

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Solution

The fourth proportional to 42,138.38, 58,162.14 and 26,213.78 is: 36,181.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,138.38 : 58,162.14 = 26,213.78 : x
  2. Step 2: Convert to fraction form
    42,138.38/58,162.14 = 26,213.78/x
  3. Step 3: Cross multiply
    42,138.38x = 58,162.14 × 26,213.78
  4. Step 4: Simplify right side
    42,138.38x = 1,524,649,542.29
  5. Step 5: Solve for x
    x = 1,524,649,542.29/42,138.38
  6. Step 6: Final answer
    x = 36,181.97

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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.