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Finding the Fourth Proportional to 75,447.87, 113,172 and 22,857.81

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Solution

The fourth proportional to 75,447.87, 113,172 and 22,857.81 is: 34,286.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,447.87 : 113,172 = 22,857.81 : x
  2. Step 2: Convert to fraction form
    75,447.87/113,172 = 22,857.81/x
  3. Step 3: Cross multiply
    75,447.87x = 113,172 × 22,857.81
  4. Step 4: Simplify right side
    75,447.87x = 2,586,864,073.32
  5. Step 5: Solve for x
    x = 2,586,864,073.32/75,447.87
  6. Step 6: Final answer
    x = 34,286.77

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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.