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Finding the Fourth Proportional to 67,696, 101,544 and 18,448

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Solution

The fourth proportional to 67,696, 101,544 and 18,448 is: 27,672

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,696 : 101,544 = 18,448 : x
  2. Step 2: Convert to fraction form
    67,696/101,544 = 18,448/x
  3. Step 3: Cross multiply
    67,696x = 101,544 × 18,448
  4. Step 4: Simplify right side
    67,696x = 1,873,283,712
  5. Step 5: Solve for x
    x = 1,873,283,712/67,696
  6. Step 6: Final answer
    x = 27,672

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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.