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Finding the Fourth Proportional to 29,692.40, 44,563.80 and 12,174.80

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Solution

The fourth proportional to 29,692.40, 44,563.80 and 12,174.80 is: 18,272.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,692.40 : 44,563.80 = 12,174.80 : x
  2. Step 2: Convert to fraction form
    29,692.40/44,563.80 = 12,174.80/x
  3. Step 3: Cross multiply
    29,692.40x = 44,563.80 × 12,174.80
  4. Step 4: Simplify right side
    29,692.40x = 542,555,352.24
  5. Step 5: Solve for x
    x = 542,555,352.24/29,692.40
  6. Step 6: Final answer
    x = 18,272.53

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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.