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Finding the Fourth Proportional to 71,450.98, 107,180.11 and 27,081.30

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Solution

The fourth proportional to 71,450.98, 107,180.11 and 27,081.30 is: 40,623.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,450.98 : 107,180.11 = 27,081.30 : x
  2. Step 2: Convert to fraction form
    71,450.98/107,180.11 = 27,081.30/x
  3. Step 3: Cross multiply
    71,450.98x = 107,180.11 × 27,081.30
  4. Step 4: Simplify right side
    71,450.98x = 2,902,577,148.72
  5. Step 5: Solve for x
    x = 2,902,577,148.72/71,450.98
  6. Step 6: Final answer
    x = 40,623.34

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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.