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Finding the Fourth Proportional to 38,231.20, 57,231.60 and 33,623.20

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Solution

The fourth proportional to 38,231.20, 57,231.60 and 33,623.20 is: 50,333.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,231.20 : 57,231.60 = 33,623.20 : x
  2. Step 2: Convert to fraction form
    38,231.20/57,231.60 = 33,623.20/x
  3. Step 3: Cross multiply
    38,231.20x = 57,231.60 × 33,623.20
  4. Step 4: Simplify right side
    38,231.20x = 1,924,309,533.12
  5. Step 5: Solve for x
    x = 1,924,309,533.12/38,231.20
  6. Step 6: Final answer
    x = 50,333.49

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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.