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Finding the Fourth Proportional to 49,812, 68,742 and 27,457.44

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Solution

The fourth proportional to 49,812, 68,742 and 27,457.44 is: 37,892.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,812 : 68,742 = 27,457.44 : x
  2. Step 2: Convert to fraction form
    49,812/68,742 = 27,457.44/x
  3. Step 3: Cross multiply
    49,812x = 68,742 × 27,457.44
  4. Step 4: Simplify right side
    49,812x = 1,887,479,340.48
  5. Step 5: Solve for x
    x = 1,887,479,340.48/49,812
  6. Step 6: Final answer
    x = 37,892.06

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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.