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Finding the Fourth Proportional to 49,596.40, 68,469.72 and 38,241

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Solution

The fourth proportional to 49,596.40, 68,469.72 and 38,241 is: 52,793.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,596.40 : 68,469.72 = 38,241 : x
  2. Step 2: Convert to fraction form
    49,596.40/68,469.72 = 38,241/x
  3. Step 3: Cross multiply
    49,596.40x = 68,469.72 × 38,241
  4. Step 4: Simplify right side
    49,596.40x = 2,618,350,562.52
  5. Step 5: Solve for x
    x = 2,618,350,562.52/49,596.40
  6. Step 6: Final answer
    x = 52,793.16

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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.