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Finding the Fourth Proportional to 27,976.33, 41,968.59 and 8,252.32

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Solution

The fourth proportional to 27,976.33, 41,968.59 and 8,252.32 is: 12,379.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,976.33 : 41,968.59 = 8,252.32 : x
  2. Step 2: Convert to fraction form
    27,976.33/41,968.59 = 8,252.32/x
  3. Step 3: Cross multiply
    27,976.33x = 41,968.59 × 8,252.32
  4. Step 4: Simplify right side
    27,976.33x = 346,338,234.63
  5. Step 5: Solve for x
    x = 346,338,234.63/27,976.33
  6. Step 6: Final answer
    x = 12,379.69

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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.