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Finding the Fourth Proportional to 101,564.75, 152,347.17 and 27,692.75

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Solution

The fourth proportional to 101,564.75, 152,347.17 and 27,692.75 is: 41,539.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,564.75 : 152,347.17 = 27,692.75 : x
  2. Step 2: Convert to fraction form
    101,564.75/152,347.17 = 27,692.75/x
  3. Step 3: Cross multiply
    101,564.75x = 152,347.17 × 27,692.75
  4. Step 4: Simplify right side
    101,564.75x = 4,218,912,092.02
  5. Step 5: Solve for x
    x = 4,218,912,092.02/101,564.75
  6. Step 6: Final answer
    x = 41,539.14

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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.