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Finding the Fourth Proportional to 83,771.92, 125,657.65 and 36,380.89

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Solution

The fourth proportional to 83,771.92, 125,657.65 and 36,380.89 is: 54,571.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,771.92 : 125,657.65 = 36,380.89 : x
  2. Step 2: Convert to fraction form
    83,771.92/125,657.65 = 36,380.89/x
  3. Step 3: Cross multiply
    83,771.92x = 125,657.65 × 36,380.89
  4. Step 4: Simplify right side
    83,771.92x = 4,571,537,142.31
  5. Step 5: Solve for x
    x = 4,571,537,142.31/83,771.92
  6. Step 6: Final answer
    x = 54,571.24

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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.