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Finding the Fourth Proportional to 73,825.76, 110,660.88 and 36,812

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Solution

The fourth proportional to 73,825.76, 110,660.88 and 36,812 is: 55,179.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,825.76 : 110,660.88 = 36,812 : x
  2. Step 2: Convert to fraction form
    73,825.76/110,660.88 = 36,812/x
  3. Step 3: Cross multiply
    73,825.76x = 110,660.88 × 36,812
  4. Step 4: Simplify right side
    73,825.76x = 4,073,648,314.56
  5. Step 5: Solve for x
    x = 4,073,648,314.56/73,825.76
  6. Step 6: Final answer
    x = 55,179.23

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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.