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Finding the Fourth Proportional to 83,847.94, 125,784.26 and 27,693.88

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Solution

The fourth proportional to 83,847.94, 125,784.26 and 27,693.88 is: 41,544.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,847.94 : 125,784.26 = 27,693.88 : x
  2. Step 2: Convert to fraction form
    83,847.94/125,784.26 = 27,693.88/x
  3. Step 3: Cross multiply
    83,847.94x = 125,784.26 × 27,693.88
  4. Step 4: Simplify right side
    83,847.94x = 3,483,454,202.33
  5. Step 5: Solve for x
    x = 3,483,454,202.33/83,847.94
  6. Step 6: Final answer
    x = 41,544.90

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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.