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Finding the Fourth Proportional to 106,137.52, 159,212.01 and 27,252.43

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Solution

The fourth proportional to 106,137.52, 159,212.01 and 27,252.43 is: 40,880.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,137.52 : 159,212.01 = 27,252.43 : x
  2. Step 2: Convert to fraction form
    106,137.52/159,212.01 = 27,252.43/x
  3. Step 3: Cross multiply
    106,137.52x = 159,212.01 × 27,252.43
  4. Step 4: Simplify right side
    106,137.52x = 4,338,914,157.68
  5. Step 5: Solve for x
    x = 4,338,914,157.68/106,137.52
  6. Step 6: Final answer
    x = 40,880.12

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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.