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Finding the Fourth Proportional to 38,658.69, 57,933.34 and 16,449.71

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Solution

The fourth proportional to 38,658.69, 57,933.34 and 16,449.71 is: 24,651.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,658.69 : 57,933.34 = 16,449.71 : x
  2. Step 2: Convert to fraction form
    38,658.69/57,933.34 = 16,449.71/x
  3. Step 3: Cross multiply
    38,658.69x = 57,933.34 × 16,449.71
  4. Step 4: Simplify right side
    38,658.69x = 952,986,311.54
  5. Step 5: Solve for x
    x = 952,986,311.54/38,658.69
  6. Step 6: Final answer
    x = 24,651.28

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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.