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Finding the Fourth Proportional to 101,706, 152,559 and 27,834

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Solution

The fourth proportional to 101,706, 152,559 and 27,834 is: 41,751

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,706 : 152,559 = 27,834 : x
  2. Step 2: Convert to fraction form
    101,706/152,559 = 27,834/x
  3. Step 3: Cross multiply
    101,706x = 152,559 × 27,834
  4. Step 4: Simplify right side
    101,706x = 4,246,327,206
  5. Step 5: Solve for x
    x = 4,246,327,206/101,706
  6. Step 6: Final answer
    x = 41,751

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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.