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Finding the Fourth Proportional to 52,086.54, 71,879.49 and 28,213.41

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Solution

The fourth proportional to 52,086.54, 71,879.49 and 28,213.41 is: 38,934.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,086.54 : 71,879.49 = 28,213.41 : x
  2. Step 2: Convert to fraction form
    52,086.54/71,879.49 = 28,213.41/x
  3. Step 3: Cross multiply
    52,086.54x = 71,879.49 × 28,213.41
  4. Step 4: Simplify right side
    52,086.54x = 2,027,965,521.96
  5. Step 5: Solve for x
    x = 2,027,965,521.96/52,086.54
  6. Step 6: Final answer
    x = 38,934.54

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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.