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Finding the Fourth Proportional to 33,693.78, 50,546.02 and 11,205.30

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Solution

The fourth proportional to 33,693.78, 50,546.02 and 11,205.30 is: 16,809.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,693.78 : 50,546.02 = 11,205.30 : x
  2. Step 2: Convert to fraction form
    33,693.78/50,546.02 = 11,205.30/x
  3. Step 3: Cross multiply
    33,693.78x = 50,546.02 × 11,205.30
  4. Step 4: Simplify right side
    33,693.78x = 566,383,317.91
  5. Step 5: Solve for x
    x = 566,383,317.91/33,693.78
  6. Step 6: Final answer
    x = 16,809.73

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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.