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Finding the Fourth Proportional to 83,756.54, 125,654.22 and 27,594.65

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Solution

The fourth proportional to 83,756.54, 125,654.22 and 27,594.65 is: 41,398.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,756.54 : 125,654.22 = 27,594.65 : x
  2. Step 2: Convert to fraction form
    83,756.54/125,654.22 = 27,594.65/x
  3. Step 3: Cross multiply
    83,756.54x = 125,654.22 × 27,594.65
  4. Step 4: Simplify right side
    83,756.54x = 3,467,383,593.65
  5. Step 5: Solve for x
    x = 3,467,383,593.65/83,756.54
  6. Step 6: Final answer
    x = 41,398.36

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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.