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Finding the Fourth Proportional to 38,286.33, 57,321.62 and 28,896.48

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Solution

The fourth proportional to 38,286.33, 57,321.62 and 28,896.48 is: 43,263.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,286.33 : 57,321.62 = 28,896.48 : x
  2. Step 2: Convert to fraction form
    38,286.33/57,321.62 = 28,896.48/x
  3. Step 3: Cross multiply
    38,286.33x = 57,321.62 × 28,896.48
  4. Step 4: Simplify right side
    38,286.33x = 1,656,392,901.42
  5. Step 5: Solve for x
    x = 1,656,392,901.42/38,286.33
  6. Step 6: Final answer
    x = 43,263.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.