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Finding the Fourth Proportional to 33,898.50, 50,781.56 and 16,103.83

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Solution

The fourth proportional to 33,898.50, 50,781.56 and 16,103.83 is: 24,124.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,898.50 : 50,781.56 = 16,103.83 : x
  2. Step 2: Convert to fraction form
    33,898.50/50,781.56 = 16,103.83/x
  3. Step 3: Cross multiply
    33,898.50x = 50,781.56 × 16,103.83
  4. Step 4: Simplify right side
    33,898.50x = 817,777,542.41
  5. Step 5: Solve for x
    x = 817,777,542.41/33,898.50
  6. Step 6: Final answer
    x = 24,124.30

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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.