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Finding the Fourth Proportional to 131,664, 197,496 and 33,168

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Solution

The fourth proportional to 131,664, 197,496 and 33,168 is: 49,752

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,664 : 197,496 = 33,168 : x
  2. Step 2: Convert to fraction form
    131,664/197,496 = 33,168/x
  3. Step 3: Cross multiply
    131,664x = 197,496 × 33,168
  4. Step 4: Simplify right side
    131,664x = 6,550,547,328
  5. Step 5: Solve for x
    x = 6,550,547,328/131,664
  6. Step 6: Final answer
    x = 49,752

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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.