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Finding the Fourth Proportional to 82,067.92, 123,107.88 and 29,477.80

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Solution

The fourth proportional to 82,067.92, 123,107.88 and 29,477.80 is: 44,218.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,067.92 : 123,107.88 = 29,477.80 : x
  2. Step 2: Convert to fraction form
    82,067.92/123,107.88 = 29,477.80/x
  3. Step 3: Cross multiply
    82,067.92x = 123,107.88 × 29,477.80
  4. Step 4: Simplify right side
    82,067.92x = 3,628,949,465.06
  5. Step 5: Solve for x
    x = 3,628,949,465.06/82,067.92
  6. Step 6: Final answer
    x = 44,218.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.