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Finding the Fourth Proportional to 27,754.94, 41,639.09 and 8,034.89

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Solution

The fourth proportional to 27,754.94, 41,639.09 and 8,034.89 is: 12,054.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,754.94 : 41,639.09 = 8,034.89 : x
  2. Step 2: Convert to fraction form
    27,754.94/41,639.09 = 8,034.89/x
  3. Step 3: Cross multiply
    27,754.94x = 41,639.09 × 8,034.89
  4. Step 4: Simplify right side
    27,754.94x = 334,565,259.48
  5. Step 5: Solve for x
    x = 334,565,259.48/27,754.94
  6. Step 6: Final answer
    x = 12,054.26

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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.