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Finding the Fourth Proportional to 83,201.80, 114,818.43 and 44,961.33

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Solution

The fourth proportional to 83,201.80, 114,818.43 and 44,961.33 is: 62,046.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,201.80 : 114,818.43 = 44,961.33 : x
  2. Step 2: Convert to fraction form
    83,201.80/114,818.43 = 44,961.33/x
  3. Step 3: Cross multiply
    83,201.80x = 114,818.43 × 44,961.33
  4. Step 4: Simplify right side
    83,201.80x = 5,162,389,021.72
  5. Step 5: Solve for x
    x = 5,162,389,021.72/83,201.80
  6. Step 6: Final answer
    x = 62,046.60

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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.