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Finding the Fourth Proportional to 70,793.73, 106,197.21 and 23,409

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Solution

The fourth proportional to 70,793.73, 106,197.21 and 23,409 is: 35,115.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,793.73 : 106,197.21 = 23,409 : x
  2. Step 2: Convert to fraction form
    70,793.73/106,197.21 = 23,409/x
  3. Step 3: Cross multiply
    70,793.73x = 106,197.21 × 23,409
  4. Step 4: Simplify right side
    70,793.73x = 2,485,970,488.89
  5. Step 5: Solve for x
    x = 2,485,970,488.89/70,793.73
  6. Step 6: Final answer
    x = 35,115.69

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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.