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Finding the Fourth Proportional to 83,946.44, 115,850.37 and 47,650.46

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Solution

The fourth proportional to 83,946.44, 115,850.37 and 47,650.46 is: 65,760.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,946.44 : 115,850.37 = 47,650.46 : x
  2. Step 2: Convert to fraction form
    83,946.44/115,850.37 = 47,650.46/x
  3. Step 3: Cross multiply
    83,946.44x = 115,850.37 × 47,650.46
  4. Step 4: Simplify right side
    83,946.44x = 5,520,322,842.42
  5. Step 5: Solve for x
    x = 5,520,322,842.42/83,946.44
  6. Step 6: Final answer
    x = 65,760.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.