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Finding the Fourth Proportional to 57,782.20, 86,711.70 and 32,822.20

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Solution

The fourth proportional to 57,782.20, 86,711.70 and 32,822.20 is: 49,255.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,782.20 : 86,711.70 = 32,822.20 : x
  2. Step 2: Convert to fraction form
    57,782.20/86,711.70 = 32,822.20/x
  3. Step 3: Cross multiply
    57,782.20x = 86,711.70 × 32,822.20
  4. Step 4: Simplify right side
    57,782.20x = 2,846,068,759.74
  5. Step 5: Solve for x
    x = 2,846,068,759.74/57,782.20
  6. Step 6: Final answer
    x = 49,255.11

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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.