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Finding the Fourth Proportional to 39,832.65, 59,729.49 and 23,198.49

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Solution

The fourth proportional to 39,832.65, 59,729.49 and 23,198.49 is: 34,786.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,832.65 : 59,729.49 = 23,198.49 : x
  2. Step 2: Convert to fraction form
    39,832.65/59,729.49 = 23,198.49/x
  3. Step 3: Cross multiply
    39,832.65x = 59,729.49 × 23,198.49
  4. Step 4: Simplify right side
    39,832.65x = 1,385,633,976.47
  5. Step 5: Solve for x
    x = 1,385,633,976.47/39,832.65
  6. Step 6: Final answer
    x = 34,786.39

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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.