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Finding the Fourth Proportional to 36,291.78, 50,083.38 and 20,377.80

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Solution

The fourth proportional to 36,291.78, 50,083.38 and 20,377.80 is: 28,121.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,291.78 : 50,083.38 = 20,377.80 : x
  2. Step 2: Convert to fraction form
    36,291.78/50,083.38 = 20,377.80/x
  3. Step 3: Cross multiply
    36,291.78x = 50,083.38 × 20,377.80
  4. Step 4: Simplify right side
    36,291.78x = 1,020,589,100.96
  5. Step 5: Solve for x
    x = 1,020,589,100.96/36,291.78
  6. Step 6: Final answer
    x = 28,121.77

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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.