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Finding the Fourth Proportional to 106,612.88, 159,899.97 and 27,722.21

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Solution

The fourth proportional to 106,612.88, 159,899.97 and 27,722.21 is: 41,578.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,612.88 : 159,899.97 = 27,722.21 : x
  2. Step 2: Convert to fraction form
    106,612.88/159,899.97 = 27,722.21/x
  3. Step 3: Cross multiply
    106,612.88x = 159,899.97 × 27,722.21
  4. Step 4: Simplify right side
    106,612.88x = 4,432,780,547.33
  5. Step 5: Solve for x
    x = 4,432,780,547.33/106,612.88
  6. Step 6: Final answer
    x = 41,578.28

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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.