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Finding the Fourth Proportional to 96,067, 144,104.62 and 29,509.80

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Solution

The fourth proportional to 96,067, 144,104.62 and 29,509.80 is: 44,265.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,067 : 144,104.62 = 29,509.80 : x
  2. Step 2: Convert to fraction form
    96,067/144,104.62 = 29,509.80/x
  3. Step 3: Cross multiply
    96,067x = 144,104.62 × 29,509.80
  4. Step 4: Simplify right side
    96,067x = 4,252,498,515.28
  5. Step 5: Solve for x
    x = 4,252,498,515.28/96,067
  6. Step 6: Final answer
    x = 44,265.97

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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.