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Finding the Fourth Proportional to 67,729.16, 101,656.22 and 34,473.20

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Solution

The fourth proportional to 67,729.16, 101,656.22 and 34,473.20 is: 51,741.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,729.16 : 101,656.22 = 34,473.20 : x
  2. Step 2: Convert to fraction form
    67,729.16/101,656.22 = 34,473.20/x
  3. Step 3: Cross multiply
    67,729.16x = 101,656.22 × 34,473.20
  4. Step 4: Simplify right side
    67,729.16x = 3,504,414,522.66
  5. Step 5: Solve for x
    x = 3,504,414,522.66/67,729.16
  6. Step 6: Final answer
    x = 51,741.59

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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.