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Finding the Fourth Proportional to 38,685.88, 57,951.06 and 20,179

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Solution

The fourth proportional to 38,685.88, 57,951.06 and 20,179 is: 30,227.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,685.88 : 57,951.06 = 20,179 : x
  2. Step 2: Convert to fraction form
    38,685.88/57,951.06 = 20,179/x
  3. Step 3: Cross multiply
    38,685.88x = 57,951.06 × 20,179
  4. Step 4: Simplify right side
    38,685.88x = 1,169,394,439.74
  5. Step 5: Solve for x
    x = 1,169,394,439.74/38,685.88
  6. Step 6: Final answer
    x = 30,227.94

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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.