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Finding the Fourth Proportional to 75,665.89, 113,499.75 and 25,747.01

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Solution

The fourth proportional to 75,665.89, 113,499.75 and 25,747.01 is: 38,620.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,665.89 : 113,499.75 = 25,747.01 : x
  2. Step 2: Convert to fraction form
    75,665.89/113,499.75 = 25,747.01/x
  3. Step 3: Cross multiply
    75,665.89x = 113,499.75 × 25,747.01
  4. Step 4: Simplify right side
    75,665.89x = 2,922,279,198.25
  5. Step 5: Solve for x
    x = 2,922,279,198.25/75,665.89
  6. Step 6: Final answer
    x = 38,620.83

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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.