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Finding the Fourth Proportional to 57,836.40, 86,927.40 and 50,233.20

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Solution

The fourth proportional to 57,836.40, 86,927.40 and 50,233.20 is: 75,499.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,836.40 : 86,927.40 = 50,233.20 : x
  2. Step 2: Convert to fraction form
    57,836.40/86,927.40 = 50,233.20/x
  3. Step 3: Cross multiply
    57,836.40x = 86,927.40 × 50,233.20
  4. Step 4: Simplify right side
    57,836.40x = 4,366,641,469.68
  5. Step 5: Solve for x
    x = 4,366,641,469.68/57,836.40
  6. Step 6: Final answer
    x = 75,499.88

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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.