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Finding the Fourth Proportional to 57,858.46, 86,837 and 22,822.72

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Solution

The fourth proportional to 57,858.46, 86,837 and 22,822.72 is: 34,253.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,858.46 : 86,837 = 22,822.72 : x
  2. Step 2: Convert to fraction form
    57,858.46/86,837 = 22,822.72/x
  3. Step 3: Cross multiply
    57,858.46x = 86,837 × 22,822.72
  4. Step 4: Simplify right side
    57,858.46x = 1,981,856,536.64
  5. Step 5: Solve for x
    x = 1,981,856,536.64/57,858.46
  6. Step 6: Final answer
    x = 34,253.53

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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.