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Finding the Fourth Proportional to 47,769, 71,684.28 and 20,067

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Solution

The fourth proportional to 47,769, 71,684.28 and 20,067 is: 30,113.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,769 : 71,684.28 = 20,067 : x
  2. Step 2: Convert to fraction form
    47,769/71,684.28 = 20,067/x
  3. Step 3: Cross multiply
    47,769x = 71,684.28 × 20,067
  4. Step 4: Simplify right side
    47,769x = 1,438,488,446.76
  5. Step 5: Solve for x
    x = 1,438,488,446.76/47,769
  6. Step 6: Final answer
    x = 30,113.43

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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.