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Finding the Fourth Proportional to 22,741.80, 34,047.90 and 20,149.80

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Solution

The fourth proportional to 22,741.80, 34,047.90 and 20,149.80 is: 30,167.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,741.80 : 34,047.90 = 20,149.80 : x
  2. Step 2: Convert to fraction form
    22,741.80/34,047.90 = 20,149.80/x
  3. Step 3: Cross multiply
    22,741.80x = 34,047.90 × 20,149.80
  4. Step 4: Simplify right side
    22,741.80x = 686,058,375.42
  5. Step 5: Solve for x
    x = 686,058,375.42/22,741.80
  6. Step 6: Final answer
    x = 30,167.29

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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.