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Finding the Fourth Proportional to 92,456.74, 138,692.86 and 25,896.81

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Solution

The fourth proportional to 92,456.74, 138,692.86 and 25,896.81 is: 38,847.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,456.74 : 138,692.86 = 25,896.81 : x
  2. Step 2: Convert to fraction form
    92,456.74/138,692.86 = 25,896.81/x
  3. Step 3: Cross multiply
    92,456.74x = 138,692.86 × 25,896.81
  4. Step 4: Simplify right side
    92,456.74x = 3,591,703,099.13
  5. Step 5: Solve for x
    x = 3,591,703,099.13/92,456.74
  6. Step 6: Final answer
    x = 38,847.39

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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.