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Finding the Fourth Proportional to 75,952.62, 113,858.49 and 26,020.85

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Solution

The fourth proportional to 75,952.62, 113,858.49 and 26,020.85 is: 39,007.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,952.62 : 113,858.49 = 26,020.85 : x
  2. Step 2: Convert to fraction form
    75,952.62/113,858.49 = 26,020.85/x
  3. Step 3: Cross multiply
    75,952.62x = 113,858.49 × 26,020.85
  4. Step 4: Simplify right side
    75,952.62x = 2,962,694,120.22
  5. Step 5: Solve for x
    x = 2,962,694,120.22/75,952.62
  6. Step 6: Final answer
    x = 39,007.14

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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.