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Finding the Fourth Proportional to 29,714, 41,022.42 and 22,201.64

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Solution

The fourth proportional to 29,714, 41,022.42 and 22,201.64 is: 30,651.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,714 : 41,022.42 = 22,201.64 : x
  2. Step 2: Convert to fraction form
    29,714/41,022.42 = 22,201.64/x
  3. Step 3: Cross multiply
    29,714x = 41,022.42 × 22,201.64
  4. Step 4: Simplify right side
    29,714x = 910,765,000.77
  5. Step 5: Solve for x
    x = 910,765,000.77/29,714
  6. Step 6: Final answer
    x = 30,651.04

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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.