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Finding the Fourth Proportional to 27,780.52, 41,674.89 and 8,056.52

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Solution

The fourth proportional to 27,780.52, 41,674.89 and 8,056.52 is: 12,085.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,780.52 : 41,674.89 = 8,056.52 : x
  2. Step 2: Convert to fraction form
    27,780.52/41,674.89 = 8,056.52/x
  3. Step 3: Cross multiply
    27,780.52x = 41,674.89 × 8,056.52
  4. Step 4: Simplify right side
    27,780.52x = 335,754,584.78
  5. Step 5: Solve for x
    x = 335,754,584.78/27,780.52
  6. Step 6: Final answer
    x = 12,085.97

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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.