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Finding the Fourth Proportional to 57,782.20, 86,738.10 and 44,692.60

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Solution

The fourth proportional to 57,782.20, 86,738.10 and 44,692.60 is: 67,089.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,782.20 : 86,738.10 = 44,692.60 : x
  2. Step 2: Convert to fraction form
    57,782.20/86,738.10 = 44,692.60/x
  3. Step 3: Cross multiply
    57,782.20x = 86,738.10 × 44,692.60
  4. Step 4: Simplify right side
    57,782.20x = 3,876,551,208.06
  5. Step 5: Solve for x
    x = 3,876,551,208.06/57,782.20
  6. Step 6: Final answer
    x = 67,089.02

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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.