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Finding the Fourth Proportional to 49,273.98, 67,996.41 and 28,049.14

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Solution

The fourth proportional to 49,273.98, 67,996.41 and 28,049.14 is: 38,706.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,273.98 : 67,996.41 = 28,049.14 : x
  2. Step 2: Convert to fraction form
    49,273.98/67,996.41 = 28,049.14/x
  3. Step 3: Cross multiply
    49,273.98x = 67,996.41 × 28,049.14
  4. Step 4: Simplify right side
    49,273.98x = 1,907,240,823.59
  5. Step 5: Solve for x
    x = 1,907,240,823.59/49,273.98
  6. Step 6: Final answer
    x = 38,706.86

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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.