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Finding the Fourth Proportional to 70,282.80, 96,992.56 and 40,067.56

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Solution

The fourth proportional to 70,282.80, 96,992.56 and 40,067.56 is: 55,294.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,282.80 : 96,992.56 = 40,067.56 : x
  2. Step 2: Convert to fraction form
    70,282.80/96,992.56 = 40,067.56/x
  3. Step 3: Cross multiply
    70,282.80x = 96,992.56 × 40,067.56
  4. Step 4: Simplify right side
    70,282.80x = 3,886,255,217.35
  5. Step 5: Solve for x
    x = 3,886,255,217.35/70,282.80
  6. Step 6: Final answer
    x = 55,294.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.