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Finding the Fourth Proportional to 101,872.74, 152,808.97 and 38,692.74

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Solution

The fourth proportional to 101,872.74, 152,808.97 and 38,692.74 is: 58,039.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,872.74 : 152,808.97 = 38,692.74 : x
  2. Step 2: Convert to fraction form
    101,872.74/152,808.97 = 38,692.74/x
  3. Step 3: Cross multiply
    101,872.74x = 152,808.97 × 38,692.74
  4. Step 4: Simplify right side
    101,872.74x = 5,912,597,745.88
  5. Step 5: Solve for x
    x = 5,912,597,745.88/101,872.74
  6. Step 6: Final answer
    x = 58,039.06

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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.