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Finding the Fourth Proportional to 123,378.62, 185,067.30 and 29,884.36

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Solution

The fourth proportional to 123,378.62, 185,067.30 and 29,884.36 is: 44,826.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,378.62 : 185,067.30 = 29,884.36 : x
  2. Step 2: Convert to fraction form
    123,378.62/185,067.30 = 29,884.36/x
  3. Step 3: Cross multiply
    123,378.62x = 185,067.30 × 29,884.36
  4. Step 4: Simplify right side
    123,378.62x = 5,530,617,817.43
  5. Step 5: Solve for x
    x = 5,530,617,817.43/123,378.62
  6. Step 6: Final answer
    x = 44,826.39

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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.