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Finding the Fourth Proportional to 67,205.75, 100,773.77 and 19,814.60

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Solution

The fourth proportional to 67,205.75, 100,773.77 and 19,814.60 is: 29,711.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,205.75 : 100,773.77 = 19,814.60 : x
  2. Step 2: Convert to fraction form
    67,205.75/100,773.77 = 19,814.60/x
  3. Step 3: Cross multiply
    67,205.75x = 100,773.77 × 19,814.60
  4. Step 4: Simplify right side
    67,205.75x = 1,996,791,923.93
  5. Step 5: Solve for x
    x = 1,996,791,923.93/67,205.75
  6. Step 6: Final answer
    x = 29,711.62

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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.