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Finding the Fourth Proportional to 73,243.88, 101,078.69 and 41,412.09

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Solution

The fourth proportional to 73,243.88, 101,078.69 and 41,412.09 is: 57,149.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,243.88 : 101,078.69 = 41,412.09 : x
  2. Step 2: Convert to fraction form
    73,243.88/101,078.69 = 41,412.09/x
  3. Step 3: Cross multiply
    73,243.88x = 101,078.69 × 41,412.09
  4. Step 4: Simplify right side
    73,243.88x = 4,185,879,979.35
  5. Step 5: Solve for x
    x = 4,185,879,979.35/73,243.88
  6. Step 6: Final answer
    x = 57,149.89

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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.