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Finding the Fourth Proportional to 70,782.24, 106,020.24 and 33,286.14

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Solution

The fourth proportional to 70,782.24, 106,020.24 and 33,286.14 is: 49,857.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,782.24 : 106,020.24 = 33,286.14 : x
  2. Step 2: Convert to fraction form
    70,782.24/106,020.24 = 33,286.14/x
  3. Step 3: Cross multiply
    70,782.24x = 106,020.24 × 33,286.14
  4. Step 4: Simplify right side
    70,782.24x = 3,529,004,551.47
  5. Step 5: Solve for x
    x = 3,529,004,551.47/70,782.24
  6. Step 6: Final answer
    x = 49,857.20

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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.