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Finding the Fourth Proportional to 71,231.40, 106,847.10 and 34,367.40

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Solution

The fourth proportional to 71,231.40, 106,847.10 and 34,367.40 is: 51,551.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,231.40 : 106,847.10 = 34,367.40 : x
  2. Step 2: Convert to fraction form
    71,231.40/106,847.10 = 34,367.40/x
  3. Step 3: Cross multiply
    71,231.40x = 106,847.10 × 34,367.40
  4. Step 4: Simplify right side
    71,231.40x = 3,672,057,024.54
  5. Step 5: Solve for x
    x = 3,672,057,024.54/71,231.40
  6. Step 6: Final answer
    x = 51,551.10

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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.