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Finding the Fourth Proportional to 49,046.97, 67,682.50 and 27,244.66

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Solution

The fourth proportional to 49,046.97, 67,682.50 and 27,244.66 is: 37,596.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,046.97 : 67,682.50 = 27,244.66 : x
  2. Step 2: Convert to fraction form
    49,046.97/67,682.50 = 27,244.66/x
  3. Step 3: Cross multiply
    49,046.97x = 67,682.50 × 27,244.66
  4. Step 4: Simplify right side
    49,046.97x = 1,843,986,225.81
  5. Step 5: Solve for x
    x = 1,843,986,225.81/49,046.97
  6. Step 6: Final answer
    x = 37,596.34

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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.