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Finding the Fourth Proportional to 33,908.80, 50,829.30 and 16,108.13

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Solution

The fourth proportional to 33,908.80, 50,829.30 and 16,108.13 is: 24,146.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,908.80 : 50,829.30 = 16,108.13 : x
  2. Step 2: Convert to fraction form
    33,908.80/50,829.30 = 16,108.13/x
  3. Step 3: Cross multiply
    33,908.80x = 50,829.30 × 16,108.13
  4. Step 4: Simplify right side
    33,908.80x = 818,764,972.21
  5. Step 5: Solve for x
    x = 818,764,972.21/33,908.80
  6. Step 6: Final answer
    x = 24,146.09

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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.