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Finding the Fourth Proportional to 33,160.82, 49,744.48 and 9,793.94

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Solution

The fourth proportional to 33,160.82, 49,744.48 and 9,793.94 is: 14,691.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,160.82 : 49,744.48 = 9,793.94 : x
  2. Step 2: Convert to fraction form
    33,160.82/49,744.48 = 9,793.94/x
  3. Step 3: Cross multiply
    33,160.82x = 49,744.48 × 9,793.94
  4. Step 4: Simplify right side
    33,160.82x = 487,194,452.45
  5. Step 5: Solve for x
    x = 487,194,452.45/33,160.82
  6. Step 6: Final answer
    x = 14,691.87

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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.