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Finding the Fourth Proportional to 37,166, 55,749 and 12,542

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Solution

The fourth proportional to 37,166, 55,749 and 12,542 is: 18,813

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,166 : 55,749 = 12,542 : x
  2. Step 2: Convert to fraction form
    37,166/55,749 = 12,542/x
  3. Step 3: Cross multiply
    37,166x = 55,749 × 12,542
  4. Step 4: Simplify right side
    37,166x = 699,203,958
  5. Step 5: Solve for x
    x = 699,203,958/37,166
  6. Step 6: Final answer
    x = 18,813

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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.