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Finding the Fourth Proportional to 57,786.70, 86,692.20 and 32,806.30

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Solution

The fourth proportional to 57,786.70, 86,692.20 and 32,806.30 is: 49,216.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,786.70 : 86,692.20 = 32,806.30 : x
  2. Step 2: Convert to fraction form
    57,786.70/86,692.20 = 32,806.30/x
  3. Step 3: Cross multiply
    57,786.70x = 86,692.20 × 32,806.30
  4. Step 4: Simplify right side
    57,786.70x = 2,844,050,320.86
  5. Step 5: Solve for x
    x = 2,844,050,320.86/57,786.70
  6. Step 6: Final answer
    x = 49,216.35

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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.