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Finding the Fourth Proportional to 33,864.40, 50,801.32 and 14,138.44

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Solution

The fourth proportional to 33,864.40, 50,801.32 and 14,138.44 is: 21,209.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,864.40 : 50,801.32 = 14,138.44 : x
  2. Step 2: Convert to fraction form
    33,864.40/50,801.32 = 14,138.44/x
  3. Step 3: Cross multiply
    33,864.40x = 50,801.32 × 14,138.44
  4. Step 4: Simplify right side
    33,864.40x = 718,251,414.74
  5. Step 5: Solve for x
    x = 718,251,414.74/33,864.40
  6. Step 6: Final answer
    x = 21,209.63

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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.