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Finding the Fourth Proportional to 57,628.64, 86,481.84 and 22,563.92

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Solution

The fourth proportional to 57,628.64, 86,481.84 and 22,563.92 is: 33,861.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,628.64 : 86,481.84 = 22,563.92 : x
  2. Step 2: Convert to fraction form
    57,628.64/86,481.84 = 22,563.92/x
  3. Step 3: Cross multiply
    57,628.64x = 86,481.84 × 22,563.92
  4. Step 4: Simplify right side
    57,628.64x = 1,951,369,319.21
  5. Step 5: Solve for x
    x = 1,951,369,319.21/57,628.64
  6. Step 6: Final answer
    x = 33,861.10

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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.