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Finding the Fourth Proportional to 73,165.86, 100,968.30 and 39,631.86

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Solution

The fourth proportional to 73,165.86, 100,968.30 and 39,631.86 is: 54,691.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,165.86 : 100,968.30 = 39,631.86 : x
  2. Step 2: Convert to fraction form
    73,165.86/100,968.30 = 39,631.86/x
  3. Step 3: Cross multiply
    73,165.86x = 100,968.30 × 39,631.86
  4. Step 4: Simplify right side
    73,165.86x = 4,001,561,530.04
  5. Step 5: Solve for x
    x = 4,001,561,530.04/73,165.86
  6. Step 6: Final answer
    x = 54,691.65

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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.