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Finding the Fourth Proportional to 52,086.78, 71,879.94 and 28,213.38

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Solution

The fourth proportional to 52,086.78, 71,879.94 and 28,213.38 is: 38,934.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,086.78 : 71,879.94 = 28,213.38 : x
  2. Step 2: Convert to fraction form
    52,086.78/71,879.94 = 28,213.38/x
  3. Step 3: Cross multiply
    52,086.78x = 71,879.94 × 28,213.38
  4. Step 4: Simplify right side
    52,086.78x = 2,027,976,061.60
  5. Step 5: Solve for x
    x = 2,027,976,061.60/52,086.78
  6. Step 6: Final answer
    x = 38,934.56

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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.