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Finding the Fourth Proportional to 65,367.70, 98,093.01 and 27,928.05

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Solution

The fourth proportional to 65,367.70, 98,093.01 and 27,928.05 is: 41,909.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,367.70 : 98,093.01 = 27,928.05 : x
  2. Step 2: Convert to fraction form
    65,367.70/98,093.01 = 27,928.05/x
  3. Step 3: Cross multiply
    65,367.70x = 98,093.01 × 27,928.05
  4. Step 4: Simplify right side
    65,367.70x = 2,739,546,487.93
  5. Step 5: Solve for x
    x = 2,739,546,487.93/65,367.70
  6. Step 6: Final answer
    x = 41,909.79

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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.