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Finding the Fourth Proportional to 51,073.50, 76,682 and 26,131.44

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Solution

The fourth proportional to 51,073.50, 76,682 and 26,131.44 is: 39,233.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,073.50 : 76,682 = 26,131.44 : x
  2. Step 2: Convert to fraction form
    51,073.50/76,682 = 26,131.44/x
  3. Step 3: Cross multiply
    51,073.50x = 76,682 × 26,131.44
  4. Step 4: Simplify right side
    51,073.50x = 2,003,811,082.08
  5. Step 5: Solve for x
    x = 2,003,811,082.08/51,073.50
  6. Step 6: Final answer
    x = 39,233.87

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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.