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Finding the Fourth Proportional to 49,189.71, 73,766.49 and 17,591.22

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Solution

The fourth proportional to 49,189.71, 73,766.49 and 17,591.22 is: 26,380.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,189.71 : 73,766.49 = 17,591.22 : x
  2. Step 2: Convert to fraction form
    49,189.71/73,766.49 = 17,591.22/x
  3. Step 3: Cross multiply
    49,189.71x = 73,766.49 × 17,591.22
  4. Step 4: Simplify right side
    49,189.71x = 1,297,642,554.22
  5. Step 5: Solve for x
    x = 1,297,642,554.22/49,189.71
  6. Step 6: Final answer
    x = 26,380.37

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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.