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Finding the Fourth Proportional to 71,295.88, 106,949.34 and 23,911.24

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Solution

The fourth proportional to 71,295.88, 106,949.34 and 23,911.24 is: 35,868.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,295.88 : 106,949.34 = 23,911.24 : x
  2. Step 2: Convert to fraction form
    71,295.88/106,949.34 = 23,911.24/x
  3. Step 3: Cross multiply
    71,295.88x = 106,949.34 × 23,911.24
  4. Step 4: Simplify right side
    71,295.88x = 2,557,291,336.58
  5. Step 5: Solve for x
    x = 2,557,291,336.58/71,295.88
  6. Step 6: Final answer
    x = 35,868.71

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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.