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Finding the Fourth Proportional to 83,770.92, 125,656.16 and 36,379.89

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Solution

The fourth proportional to 83,770.92, 125,656.16 and 36,379.89 is: 54,569.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,770.92 : 125,656.16 = 36,379.89 : x
  2. Step 2: Convert to fraction form
    83,770.92/125,656.16 = 36,379.89/x
  3. Step 3: Cross multiply
    83,770.92x = 125,656.16 × 36,379.89
  4. Step 4: Simplify right side
    83,770.92x = 4,571,357,096.72
  5. Step 5: Solve for x
    x = 4,571,357,096.72/83,770.92
  6. Step 6: Final answer
    x = 54,569.74

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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.