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Finding the Fourth Proportional to 73,286.09, 109,844.16 and 33,760.17

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Solution

The fourth proportional to 73,286.09, 109,844.16 and 33,760.17 is: 50,601.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,286.09 : 109,844.16 = 33,760.17 : x
  2. Step 2: Convert to fraction form
    73,286.09/109,844.16 = 33,760.17/x
  3. Step 3: Cross multiply
    73,286.09x = 109,844.16 × 33,760.17
  4. Step 4: Simplify right side
    73,286.09x = 3,708,357,515.11
  5. Step 5: Solve for x
    x = 3,708,357,515.11/73,286.09
  6. Step 6: Final answer
    x = 50,601.11

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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.