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Finding the Fourth Proportional to 62,137, 85,757.16 and 36,986.50

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Solution

The fourth proportional to 62,137, 85,757.16 and 36,986.50 is: 51,046.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,137 : 85,757.16 = 36,986.50 : x
  2. Step 2: Convert to fraction form
    62,137/85,757.16 = 36,986.50/x
  3. Step 3: Cross multiply
    62,137x = 85,757.16 × 36,986.50
  4. Step 4: Simplify right side
    62,137x = 3,171,857,198.34
  5. Step 5: Solve for x
    x = 3,171,857,198.34/62,137
  6. Step 6: Final answer
    x = 51,046.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.