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Finding the Fourth Proportional to 71,107.47, 106,597.82 and 33,644.16

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Solution

The fourth proportional to 71,107.47, 106,597.82 and 33,644.16 is: 50,436.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,107.47 : 106,597.82 = 33,644.16 : x
  2. Step 2: Convert to fraction form
    71,107.47/106,597.82 = 33,644.16/x
  3. Step 3: Cross multiply
    71,107.47x = 106,597.82 × 33,644.16
  4. Step 4: Simplify right side
    71,107.47x = 3,586,394,195.84
  5. Step 5: Solve for x
    x = 3,586,394,195.84/71,107.47
  6. Step 6: Final answer
    x = 50,436.25

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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.