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Finding the Fourth Proportional to 29,143.10, 43,709.31 and 7,796.09

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Solution

The fourth proportional to 29,143.10, 43,709.31 and 7,796.09 is: 11,692.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,143.10 : 43,709.31 = 7,796.09 : x
  2. Step 2: Convert to fraction form
    29,143.10/43,709.31 = 7,796.09/x
  3. Step 3: Cross multiply
    29,143.10x = 43,709.31 × 7,796.09
  4. Step 4: Simplify right side
    29,143.10x = 340,761,496.05
  5. Step 5: Solve for x
    x = 340,761,496.05/29,143.10
  6. Step 6: Final answer
    x = 11,692.70

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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.