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Finding the Fourth Proportional to 77,806.62, 107,375.25 and 47,591.37

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Solution

The fourth proportional to 77,806.62, 107,375.25 and 47,591.37 is: 65,677.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,806.62 : 107,375.25 = 47,591.37 : x
  2. Step 2: Convert to fraction form
    77,806.62/107,375.25 = 47,591.37/x
  3. Step 3: Cross multiply
    77,806.62x = 107,375.25 × 47,591.37
  4. Step 4: Simplify right side
    77,806.62x = 5,110,135,251.59
  5. Step 5: Solve for x
    x = 5,110,135,251.59/77,806.62
  6. Step 6: Final answer
    x = 65,677.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.