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Finding the Fourth Proportional to 54,759.70, 82,139.55 and 36,097.30

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Solution

The fourth proportional to 54,759.70, 82,139.55 and 36,097.30 is: 54,145.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,759.70 : 82,139.55 = 36,097.30 : x
  2. Step 2: Convert to fraction form
    54,759.70/82,139.55 = 36,097.30/x
  3. Step 3: Cross multiply
    54,759.70x = 82,139.55 × 36,097.30
  4. Step 4: Simplify right side
    54,759.70x = 2,965,015,978.22
  5. Step 5: Solve for x
    x = 2,965,015,978.22/54,759.70
  6. Step 6: Final answer
    x = 54,145.95

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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.