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Finding the Fourth Proportional to 30,629.01, 42,267.86 and 17,201.44

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Solution

The fourth proportional to 30,629.01, 42,267.86 and 17,201.44 is: 23,737.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,629.01 : 42,267.86 = 17,201.44 : x
  2. Step 2: Convert to fraction form
    30,629.01/42,267.86 = 17,201.44/x
  3. Step 3: Cross multiply
    30,629.01x = 42,267.86 × 17,201.44
  4. Step 4: Simplify right side
    30,629.01x = 727,067,846.38
  5. Step 5: Solve for x
    x = 727,067,846.38/30,629.01
  6. Step 6: Final answer
    x = 23,737.88

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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.