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Finding the Fourth Proportional to 81,692.56, 122,563.45 and 29,095.20

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Solution

The fourth proportional to 81,692.56, 122,563.45 and 29,095.20 is: 43,651.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,692.56 : 122,563.45 = 29,095.20 : x
  2. Step 2: Convert to fraction form
    81,692.56/122,563.45 = 29,095.20/x
  3. Step 3: Cross multiply
    81,692.56x = 122,563.45 × 29,095.20
  4. Step 4: Simplify right side
    81,692.56x = 3,566,008,090.44
  5. Step 5: Solve for x
    x = 3,566,008,090.44/81,692.56
  6. Step 6: Final answer
    x = 43,651.56

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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.