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Finding the Fourth Proportional to 29,119.50, 43,679.26 and 7,231.50

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Solution

The fourth proportional to 29,119.50, 43,679.26 and 7,231.50 is: 10,847.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,119.50 : 43,679.26 = 7,231.50 : x
  2. Step 2: Convert to fraction form
    29,119.50/43,679.26 = 7,231.50/x
  3. Step 3: Cross multiply
    29,119.50x = 43,679.26 × 7,231.50
  4. Step 4: Simplify right side
    29,119.50x = 315,866,568.69
  5. Step 5: Solve for x
    x = 315,866,568.69/29,119.50
  6. Step 6: Final answer
    x = 10,847.25

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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.