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Finding the Fourth Proportional to 67,729.68, 101,656.87 and 34,473.50

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Solution

The fourth proportional to 67,729.68, 101,656.87 and 34,473.50 is: 51,741.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,729.68 : 101,656.87 = 34,473.50 : x
  2. Step 2: Convert to fraction form
    67,729.68/101,656.87 = 34,473.50/x
  3. Step 3: Cross multiply
    67,729.68x = 101,656.87 × 34,473.50
  4. Step 4: Simplify right side
    67,729.68x = 3,504,468,107.95
  5. Step 5: Solve for x
    x = 3,504,468,107.95/67,729.68
  6. Step 6: Final answer
    x = 51,741.99

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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.