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Finding the Fourth Proportional to 67,229.01, 100,877.54 and 27,814.41

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Solution

The fourth proportional to 67,229.01, 100,877.54 and 27,814.41 is: 41,735.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,229.01 : 100,877.54 = 27,814.41 : x
  2. Step 2: Convert to fraction form
    67,229.01/100,877.54 = 27,814.41/x
  3. Step 3: Cross multiply
    67,229.01x = 100,877.54 × 27,814.41
  4. Step 4: Simplify right side
    67,229.01x = 2,805,849,118.28
  5. Step 5: Solve for x
    x = 2,805,849,118.28/67,229.01
  6. Step 6: Final answer
    x = 41,735.69

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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.