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Finding the Fourth Proportional to 73,181.16, 100,992 and 41,349.42

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Solution

The fourth proportional to 73,181.16, 100,992 and 41,349.42 is: 57,063.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,181.16 : 100,992 = 41,349.42 : x
  2. Step 2: Convert to fraction form
    73,181.16/100,992 = 41,349.42/x
  3. Step 3: Cross multiply
    73,181.16x = 100,992 × 41,349.42
  4. Step 4: Simplify right side
    73,181.16x = 4,175,960,624.64
  5. Step 5: Solve for x
    x = 4,175,960,624.64/73,181.16
  6. Step 6: Final answer
    x = 57,063.33

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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.