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Finding the Fourth Proportional to 67,814.40, 101,692.80 and 32,764.80

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Solution

The fourth proportional to 67,814.40, 101,692.80 and 32,764.80 is: 49,133.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,814.40 : 101,692.80 = 32,764.80 : x
  2. Step 2: Convert to fraction form
    67,814.40/101,692.80 = 32,764.80/x
  3. Step 3: Cross multiply
    67,814.40x = 101,692.80 × 32,764.80
  4. Step 4: Simplify right side
    67,814.40x = 3,331,944,253.44
  5. Step 5: Solve for x
    x = 3,331,944,253.44/67,814.40
  6. Step 6: Final answer
    x = 49,133.29

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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.