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Finding the Fourth Proportional to 33,469.88, 50,212.76 and 9,778.24

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Solution

The fourth proportional to 33,469.88, 50,212.76 and 9,778.24 is: 14,669.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,469.88 : 50,212.76 = 9,778.24 : x
  2. Step 2: Convert to fraction form
    33,469.88/50,212.76 = 9,778.24/x
  3. Step 3: Cross multiply
    33,469.88x = 50,212.76 × 9,778.24
  4. Step 4: Simplify right side
    33,469.88x = 490,992,418.34
  5. Step 5: Solve for x
    x = 490,992,418.34/33,469.88
  6. Step 6: Final answer
    x = 14,669.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.