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Finding the Fourth Proportional to 80,705.32, 111,327.84 and 48,431.68

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Solution

The fourth proportional to 80,705.32, 111,327.84 and 48,431.68 is: 66,808.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,705.32 : 111,327.84 = 48,431.68 : x
  2. Step 2: Convert to fraction form
    80,705.32/111,327.84 = 48,431.68/x
  3. Step 3: Cross multiply
    80,705.32x = 111,327.84 × 48,431.68
  4. Step 4: Simplify right side
    80,705.32x = 5,391,794,321.97
  5. Step 5: Solve for x
    x = 5,391,794,321.97/80,705.32
  6. Step 6: Final answer
    x = 66,808.41

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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.