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Finding the Fourth Proportional to 57,682.44, 86,550.30 and 22,631.40

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Solution

The fourth proportional to 57,682.44, 86,550.30 and 22,631.40 is: 33,957.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,682.44 : 86,550.30 = 22,631.40 : x
  2. Step 2: Convert to fraction form
    57,682.44/86,550.30 = 22,631.40/x
  3. Step 3: Cross multiply
    57,682.44x = 86,550.30 × 22,631.40
  4. Step 4: Simplify right side
    57,682.44x = 1,958,754,459.42
  5. Step 5: Solve for x
    x = 1,958,754,459.42/57,682.44
  6. Step 6: Final answer
    x = 33,957.55

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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.