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Finding the Fourth Proportional to 33,196.34, 49,791.78 and 11,002.46

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Solution

The fourth proportional to 33,196.34, 49,791.78 and 11,002.46 is: 16,502.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,196.34 : 49,791.78 = 11,002.46 : x
  2. Step 2: Convert to fraction form
    33,196.34/49,791.78 = 11,002.46/x
  3. Step 3: Cross multiply
    33,196.34x = 49,791.78 × 11,002.46
  4. Step 4: Simplify right side
    33,196.34x = 547,832,067.78
  5. Step 5: Solve for x
    x = 547,832,067.78/33,196.34
  6. Step 6: Final answer
    x = 16,502.79

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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.