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Finding the Fourth Proportional to 80,698.82, 121,067.66 and 25,294.82

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Solution

The fourth proportional to 80,698.82, 121,067.66 and 25,294.82 is: 37,948.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,698.82 : 121,067.66 = 25,294.82 : x
  2. Step 2: Convert to fraction form
    80,698.82/121,067.66 = 25,294.82/x
  3. Step 3: Cross multiply
    80,698.82x = 121,067.66 × 25,294.82
  4. Step 4: Simplify right side
    80,698.82x = 3,062,384,062.18
  5. Step 5: Solve for x
    x = 3,062,384,062.18/80,698.82
  6. Step 6: Final answer
    x = 37,948.32

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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.