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Finding the Fourth Proportional to 31,463.56, 43,420.26 and 18,037

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Solution

The fourth proportional to 31,463.56, 43,420.26 and 18,037 is: 24,891.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,463.56 : 43,420.26 = 18,037 : x
  2. Step 2: Convert to fraction form
    31,463.56/43,420.26 = 18,037/x
  3. Step 3: Cross multiply
    31,463.56x = 43,420.26 × 18,037
  4. Step 4: Simplify right side
    31,463.56x = 783,171,229.62
  5. Step 5: Solve for x
    x = 783,171,229.62/31,463.56
  6. Step 6: Final answer
    x = 24,891.37

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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.