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Finding the Fourth Proportional to 27,800.31, 41,690.34 and 8,073.57

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Solution

The fourth proportional to 27,800.31, 41,690.34 and 8,073.57 is: 12,107.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,800.31 : 41,690.34 = 8,073.57 : x
  2. Step 2: Convert to fraction form
    27,800.31/41,690.34 = 8,073.57/x
  3. Step 3: Cross multiply
    27,800.31x = 41,690.34 × 8,073.57
  4. Step 4: Simplify right side
    27,800.31x = 336,589,878.31
  5. Step 5: Solve for x
    x = 336,589,878.31/27,800.31
  6. Step 6: Final answer
    x = 12,107.41

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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.