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Finding the Fourth Proportional to 27,976.34, 41,950.07 and 8,252.33

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Solution

The fourth proportional to 27,976.34, 41,950.07 and 8,252.33 is: 12,374.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,976.34 : 41,950.07 = 8,252.33 : x
  2. Step 2: Convert to fraction form
    27,976.34/41,950.07 = 8,252.33/x
  3. Step 3: Cross multiply
    27,976.34x = 41,950.07 × 8,252.33
  4. Step 4: Simplify right side
    27,976.34x = 346,185,570.15
  5. Step 5: Solve for x
    x = 346,185,570.15/27,976.34
  6. Step 6: Final answer
    x = 12,374.23

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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.