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Finding the Fourth Proportional to 71,836.75, 107,772.41 and 22,588.75

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Solution

The fourth proportional to 71,836.75, 107,772.41 and 22,588.75 is: 33,888.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,836.75 : 107,772.41 = 22,588.75 : x
  2. Step 2: Convert to fraction form
    71,836.75/107,772.41 = 22,588.75/x
  3. Step 3: Cross multiply
    71,836.75x = 107,772.41 × 22,588.75
  4. Step 4: Simplify right side
    71,836.75x = 2,434,444,026.39
  5. Step 5: Solve for x
    x = 2,434,444,026.39/71,836.75
  6. Step 6: Final answer
    x = 33,888.56

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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.