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Finding the Fourth Proportional to 49,827, 68,761.32 and 27,471

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Solution

The fourth proportional to 49,827, 68,761.32 and 27,471 is: 37,910.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,827 : 68,761.32 = 27,471 : x
  2. Step 2: Convert to fraction form
    49,827/68,761.32 = 27,471/x
  3. Step 3: Cross multiply
    49,827x = 68,761.32 × 27,471
  4. Step 4: Simplify right side
    49,827x = 1,888,942,221.72
  5. Step 5: Solve for x
    x = 1,888,942,221.72/49,827
  6. Step 6: Final answer
    x = 37,910.01

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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.