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Finding the Fourth Proportional to 41,976.24, 57,914.20 and 23,824

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Solution

The fourth proportional to 41,976.24, 57,914.20 and 23,824 is: 32,869.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,976.24 : 57,914.20 = 23,824 : x
  2. Step 2: Convert to fraction form
    41,976.24/57,914.20 = 23,824/x
  3. Step 3: Cross multiply
    41,976.24x = 57,914.20 × 23,824
  4. Step 4: Simplify right side
    41,976.24x = 1,379,747,900.80
  5. Step 5: Solve for x
    x = 1,379,747,900.80/41,976.24
  6. Step 6: Final answer
    x = 32,869.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.