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Finding the Fourth Proportional to 43,692.20, 65,471.10 and 32,546.60

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Solution

The fourth proportional to 43,692.20, 65,471.10 and 32,546.60 is: 48,769.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,692.20 : 65,471.10 = 32,546.60 : x
  2. Step 2: Convert to fraction form
    43,692.20/65,471.10 = 32,546.60/x
  3. Step 3: Cross multiply
    43,692.20x = 65,471.10 × 32,546.60
  4. Step 4: Simplify right side
    43,692.20x = 2,130,861,703.26
  5. Step 5: Solve for x
    x = 2,130,861,703.26/43,692.20
  6. Step 6: Final answer
    x = 48,769.84

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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.