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Finding the Fourth Proportional to 33,846, 50,771.44 and 10,469.44

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Solution

The fourth proportional to 33,846, 50,771.44 and 10,469.44 is: 15,704.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,846 : 50,771.44 = 10,469.44 : x
  2. Step 2: Convert to fraction form
    33,846/50,771.44 = 10,469.44/x
  3. Step 3: Cross multiply
    33,846x = 50,771.44 × 10,469.44
  4. Step 4: Simplify right side
    33,846x = 531,548,544.79
  5. Step 5: Solve for x
    x = 531,548,544.79/33,846
  6. Step 6: Final answer
    x = 15,704.91

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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.