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Finding the Fourth Proportional to 33,641.94, 50,468.84 and 13,909.44

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Solution

The fourth proportional to 33,641.94, 50,468.84 and 13,909.44 is: 20,866.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,641.94 : 50,468.84 = 13,909.44 : x
  2. Step 2: Convert to fraction form
    33,641.94/50,468.84 = 13,909.44/x
  3. Step 3: Cross multiply
    33,641.94x = 50,468.84 × 13,909.44
  4. Step 4: Simplify right side
    33,641.94x = 701,993,301.85
  5. Step 5: Solve for x
    x = 701,993,301.85/33,641.94
  6. Step 6: Final answer
    x = 20,866.61

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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.