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Finding the Fourth Proportional to 67,194.84, 100,771.76 and 22,811.73

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Solution

The fourth proportional to 67,194.84, 100,771.76 and 22,811.73 is: 34,210.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,194.84 : 100,771.76 = 22,811.73 : x
  2. Step 2: Convert to fraction form
    67,194.84/100,771.76 = 22,811.73/x
  3. Step 3: Cross multiply
    67,194.84x = 100,771.76 × 22,811.73
  4. Step 4: Simplify right side
    67,194.84x = 2,298,778,180.74
  5. Step 5: Solve for x
    x = 2,298,778,180.74/67,194.84
  6. Step 6: Final answer
    x = 34,210.64

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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.