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Finding the Fourth Proportional to 73,949.59, 110,918.13 and 31,827.97

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Solution

The fourth proportional to 73,949.59, 110,918.13 and 31,827.97 is: 47,739.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,949.59 : 110,918.13 = 31,827.97 : x
  2. Step 2: Convert to fraction form
    73,949.59/110,918.13 = 31,827.97/x
  3. Step 3: Cross multiply
    73,949.59x = 110,918.13 × 31,827.97
  4. Step 4: Simplify right side
    73,949.59x = 3,530,298,914.10
  5. Step 5: Solve for x
    x = 3,530,298,914.10/73,949.59
  6. Step 6: Final answer
    x = 47,739.26

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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.