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Finding the Fourth Proportional to 27,767.63, 41,650.20 and 8,045.75

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Solution

The fourth proportional to 27,767.63, 41,650.20 and 8,045.75 is: 12,068.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,767.63 : 41,650.20 = 8,045.75 : x
  2. Step 2: Convert to fraction form
    27,767.63/41,650.20 = 8,045.75/x
  3. Step 3: Cross multiply
    27,767.63x = 41,650.20 × 8,045.75
  4. Step 4: Simplify right side
    27,767.63x = 335,107,096.65
  5. Step 5: Solve for x
    x = 335,107,096.65/27,767.63
  6. Step 6: Final answer
    x = 12,068.26

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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.