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Finding the Fourth Proportional to 57,892.20, 86,816.70 and 22,824.60

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Solution

The fourth proportional to 57,892.20, 86,816.70 and 22,824.60 is: 34,228.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,892.20 : 86,816.70 = 22,824.60 : x
  2. Step 2: Convert to fraction form
    57,892.20/86,816.70 = 22,824.60/x
  3. Step 3: Cross multiply
    57,892.20x = 86,816.70 × 22,824.60
  4. Step 4: Simplify right side
    57,892.20x = 1,981,556,450.82
  5. Step 5: Solve for x
    x = 1,981,556,450.82/57,892.20
  6. Step 6: Final answer
    x = 34,228.38

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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.