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Finding the Fourth Proportional to 29,371.50, 44,059.56 and 8,311.20

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Solution

The fourth proportional to 29,371.50, 44,059.56 and 8,311.20 is: 12,467.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,371.50 : 44,059.56 = 8,311.20 : x
  2. Step 2: Convert to fraction form
    29,371.50/44,059.56 = 8,311.20/x
  3. Step 3: Cross multiply
    29,371.50x = 44,059.56 × 8,311.20
  4. Step 4: Simplify right side
    29,371.50x = 366,188,011.46
  5. Step 5: Solve for x
    x = 366,188,011.46/29,371.50
  6. Step 6: Final answer
    x = 12,467.46

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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.