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Finding the Fourth Proportional to 81,379.92, 122,132.38 and 36,415.20

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Solution

The fourth proportional to 81,379.92, 122,132.38 and 36,415.20 is: 54,650.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,379.92 : 122,132.38 = 36,415.20 : x
  2. Step 2: Convert to fraction form
    81,379.92/122,132.38 = 36,415.20/x
  3. Step 3: Cross multiply
    81,379.92x = 122,132.38 × 36,415.20
  4. Step 4: Simplify right side
    81,379.92x = 4,447,475,044.18
  5. Step 5: Solve for x
    x = 4,447,475,044.18/81,379.92
  6. Step 6: Final answer
    x = 54,650.77

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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.