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Finding the Fourth Proportional to 72,067.20, 108,101.16 and 32,578.08

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Solution

The fourth proportional to 72,067.20, 108,101.16 and 32,578.08 is: 48,867.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,067.20 : 108,101.16 = 32,578.08 : x
  2. Step 2: Convert to fraction form
    72,067.20/108,101.16 = 32,578.08/x
  3. Step 3: Cross multiply
    72,067.20x = 108,101.16 × 32,578.08
  4. Step 4: Simplify right side
    72,067.20x = 3,521,728,238.57
  5. Step 5: Solve for x
    x = 3,521,728,238.57/72,067.20
  6. Step 6: Final answer
    x = 48,867.28

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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.