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Finding the Fourth Proportional to 33,494, 50,205.76 and 11,299.60

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Solution

The fourth proportional to 33,494, 50,205.76 and 11,299.60 is: 16,937.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,494 : 50,205.76 = 11,299.60 : x
  2. Step 2: Convert to fraction form
    33,494/50,205.76 = 11,299.60/x
  3. Step 3: Cross multiply
    33,494x = 50,205.76 × 11,299.60
  4. Step 4: Simplify right side
    33,494x = 567,305,005.70
  5. Step 5: Solve for x
    x = 567,305,005.70/33,494
  6. Step 6: Final answer
    x = 16,937.51

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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.