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Finding the Fourth Proportional to 29,321.50, 43,982.28 and 7,134.87

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Solution

The fourth proportional to 29,321.50, 43,982.28 and 7,134.87 is: 10,702.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,321.50 : 43,982.28 = 7,134.87 : x
  2. Step 2: Convert to fraction form
    29,321.50/43,982.28 = 7,134.87/x
  3. Step 3: Cross multiply
    29,321.50x = 43,982.28 × 7,134.87
  4. Step 4: Simplify right side
    29,321.50x = 313,807,814.43
  5. Step 5: Solve for x
    x = 313,807,814.43/29,321.50
  6. Step 6: Final answer
    x = 10,702.31

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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.