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Finding the Fourth Proportional to 36,314.38, 50,123.37 and 20,403.96

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Solution

The fourth proportional to 36,314.38, 50,123.37 and 20,403.96 is: 28,162.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,314.38 : 50,123.37 = 20,403.96 : x
  2. Step 2: Convert to fraction form
    36,314.38/50,123.37 = 20,403.96/x
  3. Step 3: Cross multiply
    36,314.38x = 50,123.37 × 20,403.96
  4. Step 4: Simplify right side
    36,314.38x = 1,022,715,236.55
  5. Step 5: Solve for x
    x = 1,022,715,236.55/36,314.38
  6. Step 6: Final answer
    x = 28,162.82

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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.