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Finding the Fourth Proportional to 80,766.82, 111,441.32 and 48,929.57

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Solution

The fourth proportional to 80,766.82, 111,441.32 and 48,929.57 is: 67,512.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,766.82 : 111,441.32 = 48,929.57 : x
  2. Step 2: Convert to fraction form
    80,766.82/111,441.32 = 48,929.57/x
  3. Step 3: Cross multiply
    80,766.82x = 111,441.32 × 48,929.57
  4. Step 4: Simplify right side
    80,766.82x = 5,452,775,667.37
  5. Step 5: Solve for x
    x = 5,452,775,667.37/80,766.82
  6. Step 6: Final answer
    x = 67,512.57

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