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Finding the Fourth Proportional to 36,523.20, 50,399.88 and 20,609.12

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Solution

The fourth proportional to 36,523.20, 50,399.88 and 20,609.12 is: 28,439.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,523.20 : 50,399.88 = 20,609.12 : x
  2. Step 2: Convert to fraction form
    36,523.20/50,399.88 = 20,609.12/x
  3. Step 3: Cross multiply
    36,523.20x = 50,399.88 × 20,609.12
  4. Step 4: Simplify right side
    36,523.20x = 1,038,697,174.91
  5. Step 5: Solve for x
    x = 1,038,697,174.91/36,523.20
  6. Step 6: Final answer
    x = 28,439.38

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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.