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Finding the Fourth Proportional to 33,854.40, 50,786.32 and 14,128.44

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Solution

The fourth proportional to 33,854.40, 50,786.32 and 14,128.44 is: 21,194.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,854.40 : 50,786.32 = 14,128.44 : x
  2. Step 2: Convert to fraction form
    33,854.40/50,786.32 = 14,128.44/x
  3. Step 3: Cross multiply
    33,854.40x = 50,786.32 × 14,128.44
  4. Step 4: Simplify right side
    33,854.40x = 717,531,474.94
  5. Step 5: Solve for x
    x = 717,531,474.94/33,854.40
  6. Step 6: Final answer
    x = 21,194.63

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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.