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Finding the Fourth Proportional to 38,523.60, 57,785.40 and 21,934.80

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Solution

The fourth proportional to 38,523.60, 57,785.40 and 21,934.80 is: 32,902.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,523.60 : 57,785.40 = 21,934.80 : x
  2. Step 2: Convert to fraction form
    38,523.60/57,785.40 = 21,934.80/x
  3. Step 3: Cross multiply
    38,523.60x = 57,785.40 × 21,934.80
  4. Step 4: Simplify right side
    38,523.60x = 1,267,511,191.92
  5. Step 5: Solve for x
    x = 1,267,511,191.92/38,523.60
  6. Step 6: Final answer
    x = 32,902.20

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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.