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Finding the Fourth Proportional to 83,580.44, 125,369.27 and 33,659.28

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Solution

The fourth proportional to 83,580.44, 125,369.27 and 33,659.28 is: 50,488.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,580.44 : 125,369.27 = 33,659.28 : x
  2. Step 2: Convert to fraction form
    83,580.44/125,369.27 = 33,659.28/x
  3. Step 3: Cross multiply
    83,580.44x = 125,369.27 × 33,659.28
  4. Step 4: Simplify right side
    83,580.44x = 4,219,839,194.03
  5. Step 5: Solve for x
    x = 4,219,839,194.03/83,580.44
  6. Step 6: Final answer
    x = 50,488.36

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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.