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Finding the Fourth Proportional to 27,044, 40,566 and 8,576

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Solution

The fourth proportional to 27,044, 40,566 and 8,576 is: 12,864

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,044 : 40,566 = 8,576 : x
  2. Step 2: Convert to fraction form
    27,044/40,566 = 8,576/x
  3. Step 3: Cross multiply
    27,044x = 40,566 × 8,576
  4. Step 4: Simplify right side
    27,044x = 347,894,016
  5. Step 5: Solve for x
    x = 347,894,016/27,044
  6. Step 6: Final answer
    x = 12,864

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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.