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Finding the Fourth Proportional to 33,793.50, 50,659.68 and 16,013.09

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Solution

The fourth proportional to 33,793.50, 50,659.68 and 16,013.09 is: 24,005.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,793.50 : 50,659.68 = 16,013.09 : x
  2. Step 2: Convert to fraction form
    33,793.50/50,659.68 = 16,013.09/x
  3. Step 3: Cross multiply
    33,793.50x = 50,659.68 × 16,013.09
  4. Step 4: Simplify right side
    33,793.50x = 811,218,111.84
  5. Step 5: Solve for x
    x = 811,218,111.84/33,793.50
  6. Step 6: Final answer
    x = 24,005.15

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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.