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Finding the Fourth Proportional to 69,221.14, 95,534.31 and 39,013

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Solution

The fourth proportional to 69,221.14, 95,534.31 and 39,013 is: 53,843.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,221.14 : 95,534.31 = 39,013 : x
  2. Step 2: Convert to fraction form
    69,221.14/95,534.31 = 39,013/x
  3. Step 3: Cross multiply
    69,221.14x = 95,534.31 × 39,013
  4. Step 4: Simplify right side
    69,221.14x = 3,727,080,036.03
  5. Step 5: Solve for x
    x = 3,727,080,036.03/69,221.14
  6. Step 6: Final answer
    x = 53,843.09

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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.