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Finding the Fourth Proportional to 45,791.50, 68,679.14 and 20,825.70

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Solution

The fourth proportional to 45,791.50, 68,679.14 and 20,825.70 is: 31,234.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,791.50 : 68,679.14 = 20,825.70 : x
  2. Step 2: Convert to fraction form
    45,791.50/68,679.14 = 20,825.70/x
  3. Step 3: Cross multiply
    45,791.50x = 68,679.14 × 20,825.70
  4. Step 4: Simplify right side
    45,791.50x = 1,430,291,165.90
  5. Step 5: Solve for x
    x = 1,430,291,165.90/45,791.50
  6. Step 6: Final answer
    x = 31,234.86

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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.