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Finding the Fourth Proportional to 33,876.96, 50,815.44 and 14,144.78

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Solution

The fourth proportional to 33,876.96, 50,815.44 and 14,144.78 is: 21,217.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,876.96 : 50,815.44 = 14,144.78 : x
  2. Step 2: Convert to fraction form
    33,876.96/50,815.44 = 14,144.78/x
  3. Step 3: Cross multiply
    33,876.96x = 50,815.44 × 14,144.78
  4. Step 4: Simplify right side
    33,876.96x = 718,772,965.33
  5. Step 5: Solve for x
    x = 718,772,965.33/33,876.96
  6. Step 6: Final answer
    x = 21,217.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.