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Finding the Fourth Proportional to 49,382.72, 68,146.44 and 28,168.80

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Solution

The fourth proportional to 49,382.72, 68,146.44 and 28,168.80 is: 38,871.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,382.72 : 68,146.44 = 28,168.80 : x
  2. Step 2: Convert to fraction form
    49,382.72/68,146.44 = 28,168.80/x
  3. Step 3: Cross multiply
    49,382.72x = 68,146.44 × 28,168.80
  4. Step 4: Simplify right side
    49,382.72x = 1,919,603,439.07
  5. Step 5: Solve for x
    x = 1,919,603,439.07/49,382.72
  6. Step 6: Final answer
    x = 38,871.97

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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.