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Finding the Fourth Proportional to 49,377.38, 68,140.91 and 27,021.38

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Solution

The fourth proportional to 49,377.38, 68,140.91 and 27,021.38 is: 37,289.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,377.38 : 68,140.91 = 27,021.38 : x
  2. Step 2: Convert to fraction form
    49,377.38/68,140.91 = 27,021.38/x
  3. Step 3: Cross multiply
    49,377.38x = 68,140.91 × 27,021.38
  4. Step 4: Simplify right side
    49,377.38x = 1,841,261,149.50
  5. Step 5: Solve for x
    x = 1,841,261,149.50/49,377.38
  6. Step 6: Final answer
    x = 37,289.57

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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.