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Finding the Fourth Proportional to 81,976.60, 122,964.90 and 74,589.40

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Solution

The fourth proportional to 81,976.60, 122,964.90 and 74,589.40 is: 111,884.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,976.60 : 122,964.90 = 74,589.40 : x
  2. Step 2: Convert to fraction form
    81,976.60/122,964.90 = 74,589.40/x
  3. Step 3: Cross multiply
    81,976.60x = 122,964.90 × 74,589.40
  4. Step 4: Simplify right side
    81,976.60x = 9,171,878,112.06
  5. Step 5: Solve for x
    x = 9,171,878,112.06/81,976.60
  6. Step 6: Final answer
    x = 111,884.10

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Why These Related Problems?

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