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Finding the Fourth Proportional to 75,843.39, 113,789.42 and 36,403.28

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Solution

The fourth proportional to 75,843.39, 113,789.42 and 36,403.28 is: 54,616.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,843.39 : 113,789.42 = 36,403.28 : x
  2. Step 2: Convert to fraction form
    75,843.39/113,789.42 = 36,403.28/x
  3. Step 3: Cross multiply
    75,843.39x = 113,789.42 × 36,403.28
  4. Step 4: Simplify right side
    75,843.39x = 4,142,307,366.33
  5. Step 5: Solve for x
    x = 4,142,307,366.33/75,843.39
  6. Step 6: Final answer
    x = 54,616.59

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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.