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Finding the Fourth Proportional to 83,183.92, 114,780.54 and 47,374.60

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Solution

The fourth proportional to 83,183.92, 114,780.54 and 47,374.60 is: 65,369.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,183.92 : 114,780.54 = 47,374.60 : x
  2. Step 2: Convert to fraction form
    83,183.92/114,780.54 = 47,374.60/x
  3. Step 3: Cross multiply
    83,183.92x = 114,780.54 × 47,374.60
  4. Step 4: Simplify right side
    83,183.92x = 5,437,682,170.28
  5. Step 5: Solve for x
    x = 5,437,682,170.28/83,183.92
  6. Step 6: Final answer
    x = 65,369.39

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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.