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Finding the Fourth Proportional to 49,797, 68,721.30 and 27,442.44

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Solution

The fourth proportional to 49,797, 68,721.30 and 27,442.44 is: 37,871.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,797 : 68,721.30 = 27,442.44 : x
  2. Step 2: Convert to fraction form
    49,797/68,721.30 = 27,442.44/x
  3. Step 3: Cross multiply
    49,797x = 68,721.30 × 27,442.44
  4. Step 4: Simplify right side
    49,797x = 1,885,880,151.97
  5. Step 5: Solve for x
    x = 1,885,880,151.97/49,797
  6. Step 6: Final answer
    x = 37,871.36

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