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Finding the Fourth Proportional to 83,183.82, 114,793.63 and 47,373.85

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Solution

The fourth proportional to 83,183.82, 114,793.63 and 47,373.85 is: 65,375.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,183.82 : 114,793.63 = 47,373.85 : x
  2. Step 2: Convert to fraction form
    83,183.82/114,793.63 = 47,373.85/x
  3. Step 3: Cross multiply
    83,183.82x = 114,793.63 × 47,373.85
  4. Step 4: Simplify right side
    83,183.82x = 5,438,216,208.58
  5. Step 5: Solve for x
    x = 5,438,216,208.58/83,183.82
  6. Step 6: Final answer
    x = 65,375.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.