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Finding the Fourth Proportional to 36,378.39, 50,201.67 and 20,462.84

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Solution

The fourth proportional to 36,378.39, 50,201.67 and 20,462.84 is: 28,238.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,378.39 : 50,201.67 = 20,462.84 : x
  2. Step 2: Convert to fraction form
    36,378.39/50,201.67 = 20,462.84/x
  3. Step 3: Cross multiply
    36,378.39x = 50,201.67 × 20,462.84
  4. Step 4: Simplify right side
    36,378.39x = 1,027,268,740.94
  5. Step 5: Solve for x
    x = 1,027,268,740.94/36,378.39
  6. Step 6: Final answer
    x = 28,238.43

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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.