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Finding the Fourth Proportional to 73,001.92, 100,742.16 and 41,171.08

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Solution

The fourth proportional to 73,001.92, 100,742.16 and 41,171.08 is: 56,815.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,001.92 : 100,742.16 = 41,171.08 : x
  2. Step 2: Convert to fraction form
    73,001.92/100,742.16 = 41,171.08/x
  3. Step 3: Cross multiply
    73,001.92x = 100,742.16 × 41,171.08
  4. Step 4: Simplify right side
    73,001.92x = 4,147,663,528.73
  5. Step 5: Solve for x
    x = 4,147,663,528.73/73,001.92
  6. Step 6: Final answer
    x = 56,815.81

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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.