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Finding the Fourth Proportional to 101,401, 152,101.50 and 27,529

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Solution

The fourth proportional to 101,401, 152,101.50 and 27,529 is: 41,293.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,401 : 152,101.50 = 27,529 : x
  2. Step 2: Convert to fraction form
    101,401/152,101.50 = 27,529/x
  3. Step 3: Cross multiply
    101,401x = 152,101.50 × 27,529
  4. Step 4: Simplify right side
    101,401x = 4,187,202,193.50
  5. Step 5: Solve for x
    x = 4,187,202,193.50/101,401
  6. Step 6: Final answer
    x = 41,293.50

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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.