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Finding the Fourth Proportional to 80,998.56, 111,787.74 and 47,464.56

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Solution

The fourth proportional to 80,998.56, 111,787.74 and 47,464.56 is: 65,506.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,998.56 : 111,787.74 = 47,464.56 : x
  2. Step 2: Convert to fraction form
    80,998.56/111,787.74 = 47,464.56/x
  3. Step 3: Cross multiply
    80,998.56x = 111,787.74 × 47,464.56
  4. Step 4: Simplify right side
    80,998.56x = 5,305,955,892.49
  5. Step 5: Solve for x
    x = 5,305,955,892.49/80,998.56
  6. Step 6: Final answer
    x = 65,506.79

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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.