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Finding the Fourth Proportional to 54,729.88, 81,976.02 and 33,605.80

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Solution

The fourth proportional to 54,729.88, 81,976.02 and 33,605.80 is: 50,335.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,729.88 : 81,976.02 = 33,605.80 : x
  2. Step 2: Convert to fraction form
    54,729.88/81,976.02 = 33,605.80/x
  3. Step 3: Cross multiply
    54,729.88x = 81,976.02 × 33,605.80
  4. Step 4: Simplify right side
    54,729.88x = 2,754,869,732.92
  5. Step 5: Solve for x
    x = 2,754,869,732.92/54,729.88
  6. Step 6: Final answer
    x = 50,335.75

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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.