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Finding the Fourth Proportional to 27,764.82, 41,647.19 and 9,044.82

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Solution

The fourth proportional to 27,764.82, 41,647.19 and 9,044.82 is: 13,567.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,764.82 : 41,647.19 = 9,044.82 : x
  2. Step 2: Convert to fraction form
    27,764.82/41,647.19 = 9,044.82/x
  3. Step 3: Cross multiply
    27,764.82x = 41,647.19 × 9,044.82
  4. Step 4: Simplify right side
    27,764.82x = 376,691,463.79
  5. Step 5: Solve for x
    x = 376,691,463.79/27,764.82
  6. Step 6: Final answer
    x = 13,567.22

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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.