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Finding the Fourth Proportional to 57,846.92, 86,694.54 and 32,898.44

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Solution

The fourth proportional to 57,846.92, 86,694.54 and 32,898.44 is: 49,304.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,846.92 : 86,694.54 = 32,898.44 : x
  2. Step 2: Convert to fraction form
    57,846.92/86,694.54 = 32,898.44/x
  3. Step 3: Cross multiply
    57,846.92x = 86,694.54 × 32,898.44
  4. Step 4: Simplify right side
    57,846.92x = 2,852,115,122.52
  5. Step 5: Solve for x
    x = 2,852,115,122.52/57,846.92
  6. Step 6: Final answer
    x = 49,304.53

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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.