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Finding the Fourth Proportional to 33,876.50, 50,832.09 and 16,127.24

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Solution

The fourth proportional to 33,876.50, 50,832.09 and 16,127.24 is: 24,199.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,876.50 : 50,832.09 = 16,127.24 : x
  2. Step 2: Convert to fraction form
    33,876.50/50,832.09 = 16,127.24/x
  3. Step 3: Cross multiply
    33,876.50x = 50,832.09 × 16,127.24
  4. Step 4: Simplify right side
    33,876.50x = 819,781,060.97
  5. Step 5: Solve for x
    x = 819,781,060.97/33,876.50
  6. Step 6: Final answer
    x = 24,199.11

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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.