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Finding the Fourth Proportional to 27,631, 41,445.42 and 7,908.76

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Solution

The fourth proportional to 27,631, 41,445.42 and 7,908.76 is: 11,862.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,631 : 41,445.42 = 7,908.76 : x
  2. Step 2: Convert to fraction form
    27,631/41,445.42 = 7,908.76/x
  3. Step 3: Cross multiply
    27,631x = 41,445.42 × 7,908.76
  4. Step 4: Simplify right side
    27,631x = 327,781,879.88
  5. Step 5: Solve for x
    x = 327,781,879.88/27,631
  6. Step 6: Final answer
    x = 11,862.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.