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Finding the Fourth Proportional to 27,843.78, 41,755.38 and 12,051.12

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Solution

The fourth proportional to 27,843.78, 41,755.38 and 12,051.12 is: 18,072.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,843.78 : 41,755.38 = 12,051.12 : x
  2. Step 2: Convert to fraction form
    27,843.78/41,755.38 = 12,051.12/x
  3. Step 3: Cross multiply
    27,843.78x = 41,755.38 × 12,051.12
  4. Step 4: Simplify right side
    27,843.78x = 503,199,095.03
  5. Step 5: Solve for x
    x = 503,199,095.03/27,843.78
  6. Step 6: Final answer
    x = 18,072.23

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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.