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Finding the Fourth Proportional to 83,883.49, 125,824.96 and 33,963.19

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Solution

The fourth proportional to 83,883.49, 125,824.96 and 33,963.19 is: 50,944.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,883.49 : 125,824.96 = 33,963.19 : x
  2. Step 2: Convert to fraction form
    83,883.49/125,824.96 = 33,963.19/x
  3. Step 3: Cross multiply
    83,883.49x = 125,824.96 × 33,963.19
  4. Step 4: Simplify right side
    83,883.49x = 4,273,417,023.22
  5. Step 5: Solve for x
    x = 4,273,417,023.22/83,883.49
  6. Step 6: Final answer
    x = 50,944.67

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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.