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Finding the Fourth Proportional to 83,169.60, 114,787.98 and 47,354.64

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Solution

The fourth proportional to 83,169.60, 114,787.98 and 47,354.64 is: 65,357.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,169.60 : 114,787.98 = 47,354.64 : x
  2. Step 2: Convert to fraction form
    83,169.60/114,787.98 = 47,354.64/x
  3. Step 3: Cross multiply
    83,169.60x = 114,787.98 × 47,354.64
  4. Step 4: Simplify right side
    83,169.60x = 5,435,743,469.23
  5. Step 5: Solve for x
    x = 5,435,743,469.23/83,169.60
  6. Step 6: Final answer
    x = 65,357.34

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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.