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Finding the Fourth Proportional to 81,456.80, 122,294.55 and 52,005.20

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Solution

The fourth proportional to 81,456.80, 122,294.55 and 52,005.20 is: 78,077.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,456.80 : 122,294.55 = 52,005.20 : x
  2. Step 2: Convert to fraction form
    81,456.80/122,294.55 = 52,005.20/x
  3. Step 3: Cross multiply
    81,456.80x = 122,294.55 × 52,005.20
  4. Step 4: Simplify right side
    81,456.80x = 6,359,952,531.66
  5. Step 5: Solve for x
    x = 6,359,952,531.66/81,456.80
  6. Step 6: Final answer
    x = 78,077.61

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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.