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Finding the Fourth Proportional to 83,765.90, 125,664.42 and 27,609.95

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Solution

The fourth proportional to 83,765.90, 125,664.42 and 27,609.95 is: 41,420.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,765.90 : 125,664.42 = 27,609.95 : x
  2. Step 2: Convert to fraction form
    83,765.90/125,664.42 = 27,609.95/x
  3. Step 3: Cross multiply
    83,765.90x = 125,664.42 × 27,609.95
  4. Step 4: Simplify right side
    83,765.90x = 3,469,588,352.98
  5. Step 5: Solve for x
    x = 3,469,588,352.98/83,765.90
  6. Step 6: Final answer
    x = 41,420.06

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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.