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Finding the Fourth Proportional to 38,304.25, 57,456.40 and 10,224.42

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Solution

The fourth proportional to 38,304.25, 57,456.40 and 10,224.42 is: 15,336.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,304.25 : 57,456.40 = 10,224.42 : x
  2. Step 2: Convert to fraction form
    38,304.25/57,456.40 = 10,224.42/x
  3. Step 3: Cross multiply
    38,304.25x = 57,456.40 × 10,224.42
  4. Step 4: Simplify right side
    38,304.25x = 587,458,339.73
  5. Step 5: Solve for x
    x = 587,458,339.73/38,304.25
  6. Step 6: Final answer
    x = 15,336.64

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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.