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Finding the Fourth Proportional to 27,954.77, 41,941.19 and 8,233.43

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Solution

The fourth proportional to 27,954.77, 41,941.19 and 8,233.43 is: 12,352.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,954.77 : 41,941.19 = 8,233.43 : x
  2. Step 2: Convert to fraction form
    27,954.77/41,941.19 = 8,233.43/x
  3. Step 3: Cross multiply
    27,954.77x = 41,941.19 × 8,233.43
  4. Step 4: Simplify right side
    27,954.77x = 345,319,662.86
  5. Step 5: Solve for x
    x = 345,319,662.86/27,954.77
  6. Step 6: Final answer
    x = 12,352.80

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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.