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Finding the Fourth Proportional to 27,055.76, 40,576.82 and 8,076.65

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Solution

The fourth proportional to 27,055.76, 40,576.82 and 8,076.65 is: 12,112.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,055.76 : 40,576.82 = 8,076.65 : x
  2. Step 2: Convert to fraction form
    27,055.76/40,576.82 = 8,076.65/x
  3. Step 3: Cross multiply
    27,055.76x = 40,576.82 × 8,076.65
  4. Step 4: Simplify right side
    27,055.76x = 327,724,529.99
  5. Step 5: Solve for x
    x = 327,724,529.99/27,055.76
  6. Step 6: Final answer
    x = 12,112.93

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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.