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Finding the Fourth Proportional to 20,067, 30,102.02 and 6,025.94

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Solution

The fourth proportional to 20,067, 30,102.02 and 6,025.94 is: 9,039.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,067 : 30,102.02 = 6,025.94 : x
  2. Step 2: Convert to fraction form
    20,067/30,102.02 = 6,025.94/x
  3. Step 3: Cross multiply
    20,067x = 30,102.02 × 6,025.94
  4. Step 4: Simplify right side
    20,067x = 181,392,966.40
  5. Step 5: Solve for x
    x = 181,392,966.40/20,067
  6. Step 6: Final answer
    x = 9,039.37

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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.