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Finding the Fourth Proportional to 80,640.32, 111,254.16 and 48,797.60

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Solution

The fourth proportional to 80,640.32, 111,254.16 and 48,797.60 is: 67,322.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,640.32 : 111,254.16 = 48,797.60 : x
  2. Step 2: Convert to fraction form
    80,640.32/111,254.16 = 48,797.60/x
  3. Step 3: Cross multiply
    80,640.32x = 111,254.16 × 48,797.60
  4. Step 4: Simplify right side
    80,640.32x = 5,428,935,998.02
  5. Step 5: Solve for x
    x = 5,428,935,998.02/80,640.32
  6. Step 6: Final answer
    x = 67,322.85

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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.