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Finding the Fourth Proportional to 67,816.32, 101,733.12 and 34,524.96

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Solution

The fourth proportional to 67,816.32, 101,733.12 and 34,524.96 is: 51,791.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,816.32 : 101,733.12 = 34,524.96 : x
  2. Step 2: Convert to fraction form
    67,816.32/101,733.12 = 34,524.96/x
  3. Step 3: Cross multiply
    67,816.32x = 101,733.12 × 34,524.96
  4. Step 4: Simplify right side
    67,816.32x = 3,512,331,898.68
  5. Step 5: Solve for x
    x = 3,512,331,898.68/67,816.32
  6. Step 6: Final answer
    x = 51,791.84

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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.