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Finding the Fourth Proportional to 20,649.51, 30,974.27 and 5,067

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Solution

The fourth proportional to 20,649.51, 30,974.27 and 5,067 is: 7,600.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,649.51 : 30,974.27 = 5,067 : x
  2. Step 2: Convert to fraction form
    20,649.51/30,974.27 = 5,067/x
  3. Step 3: Cross multiply
    20,649.51x = 30,974.27 × 5,067
  4. Step 4: Simplify right side
    20,649.51x = 156,946,600.76
  5. Step 5: Solve for x
    x = 156,946,600.76/20,649.51
  6. Step 6: Final answer
    x = 7,600.50

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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.