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Finding the Fourth Proportional to 38,227.20, 57,225.60 and 33,619.20

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Solution

The fourth proportional to 38,227.20, 57,225.60 and 33,619.20 is: 50,327.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,227.20 : 57,225.60 = 33,619.20 : x
  2. Step 2: Convert to fraction form
    38,227.20/57,225.60 = 33,619.20/x
  3. Step 3: Cross multiply
    38,227.20x = 57,225.60 × 33,619.20
  4. Step 4: Simplify right side
    38,227.20x = 1,923,878,891.52
  5. Step 5: Solve for x
    x = 1,923,878,891.52/38,227.20
  6. Step 6: Final answer
    x = 50,327.49

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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.