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Finding the Fourth Proportional to 49,086, 73,629 and 12,150

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Solution

The fourth proportional to 49,086, 73,629 and 12,150 is: 18,225

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,086 : 73,629 = 12,150 : x
  2. Step 2: Convert to fraction form
    49,086/73,629 = 12,150/x
  3. Step 3: Cross multiply
    49,086x = 73,629 × 12,150
  4. Step 4: Simplify right side
    49,086x = 894,592,350
  5. Step 5: Solve for x
    x = 894,592,350/49,086
  6. Step 6: Final answer
    x = 18,225

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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.