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Finding the Fourth Proportional to 29,816, 41,146.16 and 16,568

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Solution

The fourth proportional to 29,816, 41,146.16 and 16,568 is: 22,863.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,816 : 41,146.16 = 16,568 : x
  2. Step 2: Convert to fraction form
    29,816/41,146.16 = 16,568/x
  3. Step 3: Cross multiply
    29,816x = 41,146.16 × 16,568
  4. Step 4: Simplify right side
    29,816x = 681,709,578.88
  5. Step 5: Solve for x
    x = 681,709,578.88/29,816
  6. Step 6: Final answer
    x = 22,863.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.