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Finding the Fourth Proportional to 83,766.58, 125,665.43 and 27,610.63

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Solution

The fourth proportional to 83,766.58, 125,665.43 and 27,610.63 is: 41,421.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,766.58 : 125,665.43 = 27,610.63 : x
  2. Step 2: Convert to fraction form
    83,766.58/125,665.43 = 27,610.63/x
  3. Step 3: Cross multiply
    83,766.58x = 125,665.43 × 27,610.63
  4. Step 4: Simplify right side
    83,766.58x = 3,469,700,925.14
  5. Step 5: Solve for x
    x = 3,469,700,925.14/83,766.58
  6. Step 6: Final answer
    x = 41,421.07

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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.