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Finding the Fourth Proportional to 38,538.27, 57,768 and 21,863.08

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Solution

The fourth proportional to 38,538.27, 57,768 and 21,863.08 is: 32,772.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,538.27 : 57,768 = 21,863.08 : x
  2. Step 2: Convert to fraction form
    38,538.27/57,768 = 21,863.08/x
  3. Step 3: Cross multiply
    38,538.27x = 57,768 × 21,863.08
  4. Step 4: Simplify right side
    38,538.27x = 1,262,986,405.44
  5. Step 5: Solve for x
    x = 1,262,986,405.44/38,538.27
  6. Step 6: Final answer
    x = 32,772.27

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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.