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Finding the Fourth Proportional to 27,706.97, 41,564.53 and 10,175.43

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Solution

The fourth proportional to 27,706.97, 41,564.53 and 10,175.43 is: 15,264.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,706.97 : 41,564.53 = 10,175.43 : x
  2. Step 2: Convert to fraction form
    27,706.97/41,564.53 = 10,175.43/x
  3. Step 3: Cross multiply
    27,706.97x = 41,564.53 × 10,175.43
  4. Step 4: Simplify right side
    27,706.97x = 422,936,965.50
  5. Step 5: Solve for x
    x = 422,936,965.50/27,706.97
  6. Step 6: Final answer
    x = 15,264.64

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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.