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Finding the Fourth Proportional to 33,634.57, 50,451.39 and 11,463.40

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Solution

The fourth proportional to 33,634.57, 50,451.39 and 11,463.40 is: 17,194.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,634.57 : 50,451.39 = 11,463.40 : x
  2. Step 2: Convert to fraction form
    33,634.57/50,451.39 = 11,463.40/x
  3. Step 3: Cross multiply
    33,634.57x = 50,451.39 × 11,463.40
  4. Step 4: Simplify right side
    33,634.57x = 578,344,464.13
  5. Step 5: Solve for x
    x = 578,344,464.13/33,634.57
  6. Step 6: Final answer
    x = 17,194.94

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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.