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Finding the Fourth Proportional to 27,739.91, 41,608.24 and 8,018.03

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Solution

The fourth proportional to 27,739.91, 41,608.24 and 8,018.03 is: 12,026.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,739.91 : 41,608.24 = 8,018.03 : x
  2. Step 2: Convert to fraction form
    27,739.91/41,608.24 = 8,018.03/x
  3. Step 3: Cross multiply
    27,739.91x = 41,608.24 × 8,018.03
  4. Step 4: Simplify right side
    27,739.91x = 333,616,116.57
  5. Step 5: Solve for x
    x = 333,616,116.57/27,739.91
  6. Step 6: Final answer
    x = 12,026.58

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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.