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Finding the Fourth Proportional to 80,128.20, 120,093.84 and 44,994

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Solution

The fourth proportional to 80,128.20, 120,093.84 and 44,994 is: 67,435.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,128.20 : 120,093.84 = 44,994 : x
  2. Step 2: Convert to fraction form
    80,128.20/120,093.84 = 44,994/x
  3. Step 3: Cross multiply
    80,128.20x = 120,093.84 × 44,994
  4. Step 4: Simplify right side
    80,128.20x = 5,403,502,236.96
  5. Step 5: Solve for x
    x = 5,403,502,236.96/80,128.20
  6. Step 6: Final answer
    x = 67,435.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.