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Finding the Fourth Proportional to 71,157.43, 106,734.31 and 23,125.77

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Solution

The fourth proportional to 71,157.43, 106,734.31 and 23,125.77 is: 34,688.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,157.43 : 106,734.31 = 23,125.77 : x
  2. Step 2: Convert to fraction form
    71,157.43/106,734.31 = 23,125.77/x
  3. Step 3: Cross multiply
    71,157.43x = 106,734.31 × 23,125.77
  4. Step 4: Simplify right side
    71,157.43x = 2,468,313,240.01
  5. Step 5: Solve for x
    x = 2,468,313,240.01/71,157.43
  6. Step 6: Final answer
    x = 34,688.06

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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.