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Finding the Fourth Proportional to 41,831, 57,727.19 and 22,968.53

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Solution

The fourth proportional to 41,831, 57,727.19 and 22,968.53 is: 31,696.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,831 : 57,727.19 = 22,968.53 : x
  2. Step 2: Convert to fraction form
    41,831/57,727.19 = 22,968.53/x
  3. Step 3: Cross multiply
    41,831x = 57,727.19 × 22,968.53
  4. Step 4: Simplify right side
    41,831x = 1,325,908,580.49
  5. Step 5: Solve for x
    x = 1,325,908,580.49/41,831
  6. Step 6: Final answer
    x = 31,696.79

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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.