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Finding the Fourth Proportional to 27,450, 41,175.36 and 8,982

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Solution

The fourth proportional to 27,450, 41,175.36 and 8,982 is: 13,473.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,450 : 41,175.36 = 8,982 : x
  2. Step 2: Convert to fraction form
    27,450/41,175.36 = 8,982/x
  3. Step 3: Cross multiply
    27,450x = 41,175.36 × 8,982
  4. Step 4: Simplify right side
    27,450x = 369,837,083.52
  5. Step 5: Solve for x
    x = 369,837,083.52/27,450
  6. Step 6: Final answer
    x = 13,473.12

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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.