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Finding the Fourth Proportional to 33,634.87, 50,451.77 and 11,463.69

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Solution

The fourth proportional to 33,634.87, 50,451.77 and 11,463.69 is: 17,195.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,634.87 : 50,451.77 = 11,463.69 : x
  2. Step 2: Convert to fraction form
    33,634.87/50,451.77 = 11,463.69/x
  3. Step 3: Cross multiply
    33,634.87x = 50,451.77 × 11,463.69
  4. Step 4: Simplify right side
    33,634.87x = 578,363,141.65
  5. Step 5: Solve for x
    x = 578,363,141.65/33,634.87
  6. Step 6: Final answer
    x = 17,195.34

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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.