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Finding the Fourth Proportional to 36,380.80, 50,208.42 and 20,464.30

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Solution

The fourth proportional to 36,380.80, 50,208.42 and 20,464.30 is: 28,242.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,380.80 : 50,208.42 = 20,464.30 : x
  2. Step 2: Convert to fraction form
    36,380.80/50,208.42 = 20,464.30/x
  3. Step 3: Cross multiply
    36,380.80x = 50,208.42 × 20,464.30
  4. Step 4: Simplify right side
    36,380.80x = 1,027,480,169.41
  5. Step 5: Solve for x
    x = 1,027,480,169.41/36,380.80
  6. Step 6: Final answer
    x = 28,242.37

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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.