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Finding the Fourth Proportional to 44,664, 66,996 and 11,832

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Solution

The fourth proportional to 44,664, 66,996 and 11,832 is: 17,748

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,664 : 66,996 = 11,832 : x
  2. Step 2: Convert to fraction form
    44,664/66,996 = 11,832/x
  3. Step 3: Cross multiply
    44,664x = 66,996 × 11,832
  4. Step 4: Simplify right side
    44,664x = 792,696,672
  5. Step 5: Solve for x
    x = 792,696,672/44,664
  6. Step 6: Final answer
    x = 17,748

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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.