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Finding the Fourth Proportional to 50,065.44, 69,091.02 and 27,709.44

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Solution

The fourth proportional to 50,065.44, 69,091.02 and 27,709.44 is: 38,239.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,065.44 : 69,091.02 = 27,709.44 : x
  2. Step 2: Convert to fraction form
    50,065.44/69,091.02 = 27,709.44/x
  3. Step 3: Cross multiply
    50,065.44x = 69,091.02 × 27,709.44
  4. Step 4: Simplify right side
    50,065.44x = 1,914,473,473.23
  5. Step 5: Solve for x
    x = 1,914,473,473.23/50,065.44
  6. Step 6: Final answer
    x = 38,239.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.