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Finding the Fourth Proportional to 36,053.24, 49,757 and 20,138.71

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Solution

The fourth proportional to 36,053.24, 49,757 and 20,138.71 is: 27,793.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,053.24 : 49,757 = 20,138.71 : x
  2. Step 2: Convert to fraction form
    36,053.24/49,757 = 20,138.71/x
  3. Step 3: Cross multiply
    36,053.24x = 49,757 × 20,138.71
  4. Step 4: Simplify right side
    36,053.24x = 1,002,041,793.47
  5. Step 5: Solve for x
    x = 1,002,041,793.47/36,053.24
  6. Step 6: Final answer
    x = 27,793.39

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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.