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Finding the Fourth Proportional to 57,859.94, 86,822.69 and 22,824.20

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Solution

The fourth proportional to 57,859.94, 86,822.69 and 22,824.20 is: 34,249.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,859.94 : 86,822.69 = 22,824.20 : x
  2. Step 2: Convert to fraction form
    57,859.94/86,822.69 = 22,824.20/x
  3. Step 3: Cross multiply
    57,859.94x = 86,822.69 × 22,824.20
  4. Step 4: Simplify right side
    57,859.94x = 1,981,658,441.10
  5. Step 5: Solve for x
    x = 1,981,658,441.10/57,859.94
  6. Step 6: Final answer
    x = 34,249.23

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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.