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Finding the Fourth Proportional to 67,397.82, 101,097.14 and 29,949.09

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Solution

The fourth proportional to 67,397.82, 101,097.14 and 29,949.09 is: 44,923.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,397.82 : 101,097.14 = 29,949.09 : x
  2. Step 2: Convert to fraction form
    67,397.82/101,097.14 = 29,949.09/x
  3. Step 3: Cross multiply
    67,397.82x = 101,097.14 × 29,949.09
  4. Step 4: Simplify right side
    67,397.82x = 3,027,767,194.86
  5. Step 5: Solve for x
    x = 3,027,767,194.86/67,397.82
  6. Step 6: Final answer
    x = 44,923.81

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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.