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Finding the Fourth Proportional to 100,572.13, 150,858.19 and 25,692.44

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Solution

The fourth proportional to 100,572.13, 150,858.19 and 25,692.44 is: 38,538.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,572.13 : 150,858.19 = 25,692.44 : x
  2. Step 2: Convert to fraction form
    100,572.13/150,858.19 = 25,692.44/x
  3. Step 3: Cross multiply
    100,572.13x = 150,858.19 × 25,692.44
  4. Step 4: Simplify right side
    100,572.13x = 3,875,914,176.56
  5. Step 5: Solve for x
    x = 3,875,914,176.56/100,572.13
  6. Step 6: Final answer
    x = 38,538.65

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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.