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Finding the Fourth Proportional to 131,330, 196,995 and 32,834

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Solution

The fourth proportional to 131,330, 196,995 and 32,834 is: 49,251

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,330 : 196,995 = 32,834 : x
  2. Step 2: Convert to fraction form
    131,330/196,995 = 32,834/x
  3. Step 3: Cross multiply
    131,330x = 196,995 × 32,834
  4. Step 4: Simplify right side
    131,330x = 6,468,133,830
  5. Step 5: Solve for x
    x = 6,468,133,830/131,330
  6. Step 6: Final answer
    x = 49,251

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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.