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Finding the Fourth Proportional to 67,421.81, 101,194.83 and 34,165.44

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Solution

The fourth proportional to 67,421.81, 101,194.83 and 34,165.44 is: 51,279.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,421.81 : 101,194.83 = 34,165.44 : x
  2. Step 2: Convert to fraction form
    67,421.81/101,194.83 = 34,165.44/x
  3. Step 3: Cross multiply
    67,421.81x = 101,194.83 × 34,165.44
  4. Step 4: Simplify right side
    67,421.81x = 3,457,365,892.68
  5. Step 5: Solve for x
    x = 3,457,365,892.68/67,421.81
  6. Step 6: Final answer
    x = 51,279.64

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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.