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Finding the Fourth Proportional to 67,184.76, 100,787.98 and 22,806.84

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Solution

The fourth proportional to 67,184.76, 100,787.98 and 22,806.84 is: 34,213.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,184.76 : 100,787.98 = 22,806.84 : x
  2. Step 2: Convert to fraction form
    67,184.76/100,787.98 = 22,806.84/x
  3. Step 3: Cross multiply
    67,184.76x = 100,787.98 × 22,806.84
  4. Step 4: Simplify right side
    67,184.76x = 2,298,655,333.78
  5. Step 5: Solve for x
    x = 2,298,655,333.78/67,184.76
  6. Step 6: Final answer
    x = 34,213.94

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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.