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Finding the Fourth Proportional to 33,231.80, 49,833.30 and 13,503.80

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Solution

The fourth proportional to 33,231.80, 49,833.30 and 13,503.80 is: 20,249.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,231.80 : 49,833.30 = 13,503.80 : x
  2. Step 2: Convert to fraction form
    33,231.80/49,833.30 = 13,503.80/x
  3. Step 3: Cross multiply
    33,231.80x = 49,833.30 × 13,503.80
  4. Step 4: Simplify right side
    33,231.80x = 672,938,916.54
  5. Step 5: Solve for x
    x = 672,938,916.54/33,231.80
  6. Step 6: Final answer
    x = 20,249.85

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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.