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Finding the Fourth Proportional to 83,530.50, 125,358.02 and 33,611.02

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Solution

The fourth proportional to 83,530.50, 125,358.02 and 33,611.02 is: 50,441.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,530.50 : 125,358.02 = 33,611.02 : x
  2. Step 2: Convert to fraction form
    83,530.50/125,358.02 = 33,611.02/x
  3. Step 3: Cross multiply
    83,530.50x = 125,358.02 × 33,611.02
  4. Step 4: Simplify right side
    83,530.50x = 4,213,410,122.54
  5. Step 5: Solve for x
    x = 4,213,410,122.54/83,530.50
  6. Step 6: Final answer
    x = 50,441.58

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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.