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Finding the Fourth Proportional to 27,782.10, 41,661 and 8,060.22

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Solution

The fourth proportional to 27,782.10, 41,661 and 8,060.22 is: 12,086.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,782.10 : 41,661 = 8,060.22 : x
  2. Step 2: Convert to fraction form
    27,782.10/41,661 = 8,060.22/x
  3. Step 3: Cross multiply
    27,782.10x = 41,661 × 8,060.22
  4. Step 4: Simplify right side
    27,782.10x = 335,796,825.42
  5. Step 5: Solve for x
    x = 335,796,825.42/27,782.10
  6. Step 6: Final answer
    x = 12,086.81

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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.