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Finding the Fourth Proportional to 27,650.53, 41,476.08 and 6,874.03

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Solution

The fourth proportional to 27,650.53, 41,476.08 and 6,874.03 is: 10,311.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,650.53 : 41,476.08 = 6,874.03 : x
  2. Step 2: Convert to fraction form
    27,650.53/41,476.08 = 6,874.03/x
  3. Step 3: Cross multiply
    27,650.53x = 41,476.08 × 6,874.03
  4. Step 4: Simplify right side
    27,650.53x = 285,107,895.83
  5. Step 5: Solve for x
    x = 285,107,895.83/27,650.53
  6. Step 6: Final answer
    x = 10,311.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.