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Finding the Fourth Proportional to 83,219.70, 124,826.81 and 33,286.39

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Solution

The fourth proportional to 83,219.70, 124,826.81 and 33,286.39 is: 49,928.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,219.70 : 124,826.81 = 33,286.39 : x
  2. Step 2: Convert to fraction form
    83,219.70/124,826.81 = 33,286.39/x
  3. Step 3: Cross multiply
    83,219.70x = 124,826.81 × 33,286.39
  4. Step 4: Simplify right side
    83,219.70x = 4,155,033,880.12
  5. Step 5: Solve for x
    x = 4,155,033,880.12/83,219.70
  6. Step 6: Final answer
    x = 49,928.49

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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.