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Finding the Fourth Proportional to 27,745.72, 41,624.80 and 8,025.81

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Solution

The fourth proportional to 27,745.72, 41,624.80 and 8,025.81 is: 12,040.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,745.72 : 41,624.80 = 8,025.81 : x
  2. Step 2: Convert to fraction form
    27,745.72/41,624.80 = 8,025.81/x
  3. Step 3: Cross multiply
    27,745.72x = 41,624.80 × 8,025.81
  4. Step 4: Simplify right side
    27,745.72x = 334,072,716.02
  5. Step 5: Solve for x
    x = 334,072,716.02/27,745.72
  6. Step 6: Final answer
    x = 12,040.51

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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.