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Finding the Fourth Proportional to 36,143.78, 49,843.42 and 28,183.10

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Solution

The fourth proportional to 36,143.78, 49,843.42 and 28,183.10 is: 38,865.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,143.78 : 49,843.42 = 28,183.10 : x
  2. Step 2: Convert to fraction form
    36,143.78/49,843.42 = 28,183.10/x
  3. Step 3: Cross multiply
    36,143.78x = 49,843.42 × 28,183.10
  4. Step 4: Simplify right side
    36,143.78x = 1,404,741,770.53
  5. Step 5: Solve for x
    x = 1,404,741,770.53/36,143.78
  6. Step 6: Final answer
    x = 38,865.39

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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.