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Finding the Fourth Proportional to 20,032.80, 30,049.20 and 16,144.80

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Solution

The fourth proportional to 20,032.80, 30,049.20 and 16,144.80 is: 24,217.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,032.80 : 30,049.20 = 16,144.80 : x
  2. Step 2: Convert to fraction form
    20,032.80/30,049.20 = 16,144.80/x
  3. Step 3: Cross multiply
    20,032.80x = 30,049.20 × 16,144.80
  4. Step 4: Simplify right side
    20,032.80x = 485,138,324.16
  5. Step 5: Solve for x
    x = 485,138,324.16/20,032.80
  6. Step 6: Final answer
    x = 24,217.20

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1.5x scale

Why These Related Problems?

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