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Finding the Fourth Proportional to 67,202.84, 100,783.76 and 22,819.72

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Solution

The fourth proportional to 67,202.84, 100,783.76 and 22,819.72 is: 34,222.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,202.84 : 100,783.76 = 22,819.72 : x
  2. Step 2: Convert to fraction form
    67,202.84/100,783.76 = 22,819.72/x
  3. Step 3: Cross multiply
    67,202.84x = 100,783.76 × 22,819.72
  4. Step 4: Simplify right side
    67,202.84x = 2,299,857,183.75
  5. Step 5: Solve for x
    x = 2,299,857,183.75/67,202.84
  6. Step 6: Final answer
    x = 34,222.62

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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.