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Finding the Fourth Proportional to 67,205.90, 100,811.24 and 22,826.88

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Solution

The fourth proportional to 67,205.90, 100,811.24 and 22,826.88 is: 34,241.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,205.90 : 100,811.24 = 22,826.88 : x
  2. Step 2: Convert to fraction form
    67,205.90/100,811.24 = 22,826.88/x
  3. Step 3: Cross multiply
    67,205.90x = 100,811.24 × 22,826.88
  4. Step 4: Simplify right side
    67,205.90x = 2,301,205,964.00
  5. Step 5: Solve for x
    x = 2,301,205,964.00/67,205.90
  6. Step 6: Final answer
    x = 34,241.13

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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.