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Finding the Fourth Proportional to 36,780, 50,757.21 and 20,013

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Solution

The fourth proportional to 36,780, 50,757.21 and 20,013 is: 27,618.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,780 : 50,757.21 = 20,013 : x
  2. Step 2: Convert to fraction form
    36,780/50,757.21 = 20,013/x
  3. Step 3: Cross multiply
    36,780x = 50,757.21 × 20,013
  4. Step 4: Simplify right side
    36,780x = 1,015,804,043.73
  5. Step 5: Solve for x
    x = 1,015,804,043.73/36,780
  6. Step 6: Final answer
    x = 27,618.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.