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Finding the Fourth Proportional to 82,067.69, 123,116.12 and 28,029.43

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Solution

The fourth proportional to 82,067.69, 123,116.12 and 28,029.43 is: 42,049.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,067.69 : 123,116.12 = 28,029.43 : x
  2. Step 2: Convert to fraction form
    82,067.69/123,116.12 = 28,029.43/x
  3. Step 3: Cross multiply
    82,067.69x = 123,116.12 × 28,029.43
  4. Step 4: Simplify right side
    82,067.69x = 3,450,874,786.27
  5. Step 5: Solve for x
    x = 3,450,874,786.27/82,067.69
  6. Step 6: Final answer
    x = 42,049.13

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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.