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Finding the Fourth Proportional to 27,745.65, 41,624.71 and 8,025.75

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Solution

The fourth proportional to 27,745.65, 41,624.71 and 8,025.75 is: 12,040.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,745.65 : 41,624.71 = 8,025.75 : x
  2. Step 2: Convert to fraction form
    27,745.65/41,624.71 = 8,025.75/x
  3. Step 3: Cross multiply
    27,745.65x = 41,624.71 × 8,025.75
  4. Step 4: Simplify right side
    27,745.65x = 334,069,308.16
  5. Step 5: Solve for x
    x = 334,069,308.16/27,745.65
  6. Step 6: Final answer
    x = 12,040.42

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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.