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Finding the Fourth Proportional to 37,379.26, 51,584.61 and 22,274.38

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Solution

The fourth proportional to 37,379.26, 51,584.61 and 22,274.38 is: 30,739.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,379.26 : 51,584.61 = 22,274.38 : x
  2. Step 2: Convert to fraction form
    37,379.26/51,584.61 = 22,274.38/x
  3. Step 3: Cross multiply
    37,379.26x = 51,584.61 × 22,274.38
  4. Step 4: Simplify right side
    37,379.26x = 1,149,015,205.29
  5. Step 5: Solve for x
    x = 1,149,015,205.29/37,379.26
  6. Step 6: Final answer
    x = 30,739.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.