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Finding the Fourth Proportional to 65,770.49, 98,692.74 and 35,786.90

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Solution

The fourth proportional to 65,770.49, 98,692.74 and 35,786.90 is: 53,700.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,770.49 : 98,692.74 = 35,786.90 : x
  2. Step 2: Convert to fraction form
    65,770.49/98,692.74 = 35,786.90/x
  3. Step 3: Cross multiply
    65,770.49x = 98,692.74 × 35,786.90
  4. Step 4: Simplify right side
    65,770.49x = 3,531,906,723.64
  5. Step 5: Solve for x
    x = 3,531,906,723.64/65,770.49
  6. Step 6: Final answer
    x = 53,700.48

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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.