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Finding the Fourth Proportional to 20,974.80, 31,462.20 and 20,002.80

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Solution

The fourth proportional to 20,974.80, 31,462.20 and 20,002.80 is: 30,004.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,974.80 : 31,462.20 = 20,002.80 : x
  2. Step 2: Convert to fraction form
    20,974.80/31,462.20 = 20,002.80/x
  3. Step 3: Cross multiply
    20,974.80x = 31,462.20 × 20,002.80
  4. Step 4: Simplify right side
    20,974.80x = 629,332,094.16
  5. Step 5: Solve for x
    x = 629,332,094.16/20,974.80
  6. Step 6: Final answer
    x = 30,004.20

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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.