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Finding the Fourth Proportional to 101,664, 152,496 and 27,792

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Solution

The fourth proportional to 101,664, 152,496 and 27,792 is: 41,688

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,664 : 152,496 = 27,792 : x
  2. Step 2: Convert to fraction form
    101,664/152,496 = 27,792/x
  3. Step 3: Cross multiply
    101,664x = 152,496 × 27,792
  4. Step 4: Simplify right side
    101,664x = 4,238,168,832
  5. Step 5: Solve for x
    x = 4,238,168,832/101,664
  6. Step 6: Final answer
    x = 41,688

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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.