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Finding the Fourth Proportional to 36,909.12, 55,383.12 and 16,147.20

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Solution

The fourth proportional to 36,909.12, 55,383.12 and 16,147.20 is: 24,229.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,909.12 : 55,383.12 = 16,147.20 : x
  2. Step 2: Convert to fraction form
    36,909.12/55,383.12 = 16,147.20/x
  3. Step 3: Cross multiply
    36,909.12x = 55,383.12 × 16,147.20
  4. Step 4: Simplify right side
    36,909.12x = 894,282,315.26
  5. Step 5: Solve for x
    x = 894,282,315.26/36,909.12
  6. Step 6: Final answer
    x = 24,229.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.