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Finding the Fourth Proportional to 84,169.86, 126,092.82 and 52,592.33

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Solution

The fourth proportional to 84,169.86, 126,092.82 and 52,592.33 is: 78,787.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,169.86 : 126,092.82 = 52,592.33 : x
  2. Step 2: Convert to fraction form
    84,169.86/126,092.82 = 52,592.33/x
  3. Step 3: Cross multiply
    84,169.86x = 126,092.82 × 52,592.33
  4. Step 4: Simplify right side
    84,169.86x = 6,631,514,569.61
  5. Step 5: Solve for x
    x = 6,631,514,569.61/84,169.86
  6. Step 6: Final answer
    x = 78,787.28

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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.