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Finding the Fourth Proportional to 75,441.87, 113,163 and 22,851.81

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Solution

The fourth proportional to 75,441.87, 113,163 and 22,851.81 is: 34,277.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,441.87 : 113,163 = 22,851.81 : x
  2. Step 2: Convert to fraction form
    75,441.87/113,163 = 22,851.81/x
  3. Step 3: Cross multiply
    75,441.87x = 113,163 × 22,851.81
  4. Step 4: Simplify right side
    75,441.87x = 2,585,979,375.03
  5. Step 5: Solve for x
    x = 2,585,979,375.03/75,441.87
  6. Step 6: Final answer
    x = 34,277.77

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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.