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Finding the Fourth Proportional to 31,082.42, 46,540.60 and 18,571.41

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Solution

The fourth proportional to 31,082.42, 46,540.60 and 18,571.41 is: 27,807.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,082.42 : 46,540.60 = 18,571.41 : x
  2. Step 2: Convert to fraction form
    31,082.42/46,540.60 = 18,571.41/x
  3. Step 3: Cross multiply
    31,082.42x = 46,540.60 × 18,571.41
  4. Step 4: Simplify right side
    31,082.42x = 864,324,517.82
  5. Step 5: Solve for x
    x = 864,324,517.82/31,082.42
  6. Step 6: Final answer
    x = 27,807.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.