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Finding the Fourth Proportional to 33,788.34, 50,691.33 and 12,728.61

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Solution

The fourth proportional to 33,788.34, 50,691.33 and 12,728.61 is: 19,096.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,788.34 : 50,691.33 = 12,728.61 : x
  2. Step 2: Convert to fraction form
    33,788.34/50,691.33 = 12,728.61/x
  3. Step 3: Cross multiply
    33,788.34x = 50,691.33 × 12,728.61
  4. Step 4: Simplify right side
    33,788.34x = 645,230,169.95
  5. Step 5: Solve for x
    x = 645,230,169.95/33,788.34
  6. Step 6: Final answer
    x = 19,096.24

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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.