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Finding the Fourth Proportional to 36,160.40, 54,123.96 and 33,536

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Solution

The fourth proportional to 36,160.40, 54,123.96 and 33,536 is: 50,195.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,160.40 : 54,123.96 = 33,536 : x
  2. Step 2: Convert to fraction form
    36,160.40/54,123.96 = 33,536/x
  3. Step 3: Cross multiply
    36,160.40x = 54,123.96 × 33,536
  4. Step 4: Simplify right side
    36,160.40x = 1,815,101,122.56
  5. Step 5: Solve for x
    x = 1,815,101,122.56/36,160.40
  6. Step 6: Final answer
    x = 50,195.83

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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.