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Finding the Fourth Proportional to 57,805.96, 86,618.22 and 34,419.64

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Solution

The fourth proportional to 57,805.96, 86,618.22 and 34,419.64 is: 51,575.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,805.96 : 86,618.22 = 34,419.64 : x
  2. Step 2: Convert to fraction form
    57,805.96/86,618.22 = 34,419.64/x
  3. Step 3: Cross multiply
    57,805.96x = 86,618.22 × 34,419.64
  4. Step 4: Simplify right side
    57,805.96x = 2,981,367,949.84
  5. Step 5: Solve for x
    x = 2,981,367,949.84/57,805.96
  6. Step 6: Final answer
    x = 51,575.44

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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.