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Finding the Fourth Proportional to 71,982.51, 107,994.52 and 22,069.97

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Solution

The fourth proportional to 71,982.51, 107,994.52 and 22,069.97 is: 33,111.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,982.51 : 107,994.52 = 22,069.97 : x
  2. Step 2: Convert to fraction form
    71,982.51/107,994.52 = 22,069.97/x
  3. Step 3: Cross multiply
    71,982.51x = 107,994.52 × 22,069.97
  4. Step 4: Simplify right side
    71,982.51x = 2,383,435,706.21
  5. Step 5: Solve for x
    x = 2,383,435,706.21/71,982.51
  6. Step 6: Final answer
    x = 33,111.32

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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.