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Finding the Fourth Proportional to 33,634.26, 50,451.39 and 11,449.98

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Solution

The fourth proportional to 33,634.26, 50,451.39 and 11,449.98 is: 17,174.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,634.26 : 50,451.39 = 11,449.98 : x
  2. Step 2: Convert to fraction form
    33,634.26/50,451.39 = 11,449.98/x
  3. Step 3: Cross multiply
    33,634.26x = 50,451.39 × 11,449.98
  4. Step 4: Simplify right side
    33,634.26x = 577,667,406.47
  5. Step 5: Solve for x
    x = 577,667,406.47/33,634.26
  6. Step 6: Final answer
    x = 17,174.97

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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.