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Finding the Fourth Proportional to 27,992.73, 41,986.05 and 8,003.41

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Solution

The fourth proportional to 27,992.73, 41,986.05 and 8,003.41 is: 12,004.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,992.73 : 41,986.05 = 8,003.41 : x
  2. Step 2: Convert to fraction form
    27,992.73/41,986.05 = 8,003.41/x
  3. Step 3: Cross multiply
    27,992.73x = 41,986.05 × 8,003.41
  4. Step 4: Simplify right side
    27,992.73x = 336,031,572.43
  5. Step 5: Solve for x
    x = 336,031,572.43/27,992.73
  6. Step 6: Final answer
    x = 12,004.24

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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.