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Finding the Fourth Proportional to 67,006.10, 100,472.70 and 27,567.20

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Solution

The fourth proportional to 67,006.10, 100,472.70 and 27,567.20 is: 41,335.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,006.10 : 100,472.70 = 27,567.20 : x
  2. Step 2: Convert to fraction form
    67,006.10/100,472.70 = 27,567.20/x
  3. Step 3: Cross multiply
    67,006.10x = 100,472.70 × 27,567.20
  4. Step 4: Simplify right side
    67,006.10x = 2,769,751,015.44
  5. Step 5: Solve for x
    x = 2,769,751,015.44/67,006.10
  6. Step 6: Final answer
    x = 41,335.80

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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.