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Finding the Fourth Proportional to 27,446.72, 41,175.90 and 10,580.17

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Solution

The fourth proportional to 27,446.72, 41,175.90 and 10,580.17 is: 15,872.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,446.72 : 41,175.90 = 10,580.17 : x
  2. Step 2: Convert to fraction form
    27,446.72/41,175.90 = 10,580.17/x
  3. Step 3: Cross multiply
    27,446.72x = 41,175.90 × 10,580.17
  4. Step 4: Simplify right side
    27,446.72x = 435,647,816.02
  5. Step 5: Solve for x
    x = 435,647,816.02/27,446.72
  6. Step 6: Final answer
    x = 15,872.49

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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.