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Finding the Fourth Proportional to 30,234.20, 41,706.17 and 18,131.46

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Solution

The fourth proportional to 30,234.20, 41,706.17 and 18,131.46 is: 25,011.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,234.20 : 41,706.17 = 18,131.46 : x
  2. Step 2: Convert to fraction form
    30,234.20/41,706.17 = 18,131.46/x
  3. Step 3: Cross multiply
    30,234.20x = 41,706.17 × 18,131.46
  4. Step 4: Simplify right side
    30,234.20x = 756,193,453.92
  5. Step 5: Solve for x
    x = 756,193,453.92/30,234.20
  6. Step 6: Final answer
    x = 25,011.19

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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.