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Finding the Fourth Proportional to 70,716.36, 106,074.54 and 33,253.14

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Solution

The fourth proportional to 70,716.36, 106,074.54 and 33,253.14 is: 49,879.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,716.36 : 106,074.54 = 33,253.14 : x
  2. Step 2: Convert to fraction form
    70,716.36/106,074.54 = 33,253.14/x
  3. Step 3: Cross multiply
    70,716.36x = 106,074.54 × 33,253.14
  4. Step 4: Simplify right side
    70,716.36x = 3,527,311,529.06
  5. Step 5: Solve for x
    x = 3,527,311,529.06/70,716.36
  6. Step 6: Final answer
    x = 49,879.71

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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.