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Finding the Fourth Proportional to 57,757.10, 86,664.45 and 32,816.30

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Solution

The fourth proportional to 57,757.10, 86,664.45 and 32,816.30 is: 49,240.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,757.10 : 86,664.45 = 32,816.30 : x
  2. Step 2: Convert to fraction form
    57,757.10/86,664.45 = 32,816.30/x
  3. Step 3: Cross multiply
    57,757.10x = 86,664.45 × 32,816.30
  4. Step 4: Simplify right side
    57,757.10x = 2,844,006,590.54
  5. Step 5: Solve for x
    x = 2,844,006,590.54/57,757.10
  6. Step 6: Final answer
    x = 49,240.81

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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.