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Finding the Fourth Proportional to 49,273.94, 68,003.44 and 28,049.78

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Solution

The fourth proportional to 49,273.94, 68,003.44 and 28,049.78 is: 38,711.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,273.94 : 68,003.44 = 28,049.78 : x
  2. Step 2: Convert to fraction form
    49,273.94/68,003.44 = 28,049.78/x
  3. Step 3: Cross multiply
    49,273.94x = 68,003.44 × 28,049.78
  4. Step 4: Simplify right side
    49,273.94x = 1,907,481,531.24
  5. Step 5: Solve for x
    x = 1,907,481,531.24/49,273.94
  6. Step 6: Final answer
    x = 38,711.77

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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.