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Finding the Fourth Proportional to 27,654.54, 41,481.98 and 6,878.04

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Solution

The fourth proportional to 27,654.54, 41,481.98 and 6,878.04 is: 10,317.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,654.54 : 41,481.98 = 6,878.04 : x
  2. Step 2: Convert to fraction form
    27,654.54/41,481.98 = 6,878.04/x
  3. Step 3: Cross multiply
    27,654.54x = 41,481.98 × 6,878.04
  4. Step 4: Simplify right side
    27,654.54x = 285,314,717.72
  5. Step 5: Solve for x
    x = 285,314,717.72/27,654.54
  6. Step 6: Final answer
    x = 10,317.10

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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.