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Finding the Fourth Proportional to 67,692, 101,538 and 18,444

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Solution

The fourth proportional to 67,692, 101,538 and 18,444 is: 27,666

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,692 : 101,538 = 18,444 : x
  2. Step 2: Convert to fraction form
    67,692/101,538 = 18,444/x
  3. Step 3: Cross multiply
    67,692x = 101,538 × 18,444
  4. Step 4: Simplify right side
    67,692x = 1,872,766,872
  5. Step 5: Solve for x
    x = 1,872,766,872/67,692
  6. Step 6: Final answer
    x = 27,666

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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.