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Finding the Fourth Proportional to 38,198.40, 57,340.80 and 22,624.80

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Solution

The fourth proportional to 38,198.40, 57,340.80 and 22,624.80 is: 33,962.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,198.40 : 57,340.80 = 22,624.80 : x
  2. Step 2: Convert to fraction form
    38,198.40/57,340.80 = 22,624.80/x
  3. Step 3: Cross multiply
    38,198.40x = 57,340.80 × 22,624.80
  4. Step 4: Simplify right side
    38,198.40x = 1,297,324,131.84
  5. Step 5: Solve for x
    x = 1,297,324,131.84/38,198.40
  6. Step 6: Final answer
    x = 33,962.79

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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.