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Finding the Fourth Proportional to 49,040.93, 67,674.44 and 27,824.19

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Solution

The fourth proportional to 49,040.93, 67,674.44 and 27,824.19 is: 38,396.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,040.93 : 67,674.44 = 27,824.19 : x
  2. Step 2: Convert to fraction form
    49,040.93/67,674.44 = 27,824.19/x
  3. Step 3: Cross multiply
    49,040.93x = 67,674.44 × 27,824.19
  4. Step 4: Simplify right side
    49,040.93x = 1,882,986,337.58
  5. Step 5: Solve for x
    x = 1,882,986,337.58/49,040.93
  6. Step 6: Final answer
    x = 38,396.22

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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.