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Finding the Fourth Proportional to 38,415.75, 57,646.31 and 16,227.69

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Solution

The fourth proportional to 38,415.75, 57,646.31 and 16,227.69 is: 24,351.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,415.75 : 57,646.31 = 16,227.69 : x
  2. Step 2: Convert to fraction form
    38,415.75/57,646.31 = 16,227.69/x
  3. Step 3: Cross multiply
    38,415.75x = 57,646.31 × 16,227.69
  4. Step 4: Simplify right side
    38,415.75x = 935,466,367.19
  5. Step 5: Solve for x
    x = 935,466,367.19/38,415.75
  6. Step 6: Final answer
    x = 24,351.12

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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.