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Finding the Fourth Proportional to 75,502.70, 104,194.44 and 41,511.44

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Solution

The fourth proportional to 75,502.70, 104,194.44 and 41,511.44 is: 57,286.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,502.70 : 104,194.44 = 41,511.44 : x
  2. Step 2: Convert to fraction form
    75,502.70/104,194.44 = 41,511.44/x
  3. Step 3: Cross multiply
    75,502.70x = 104,194.44 × 41,511.44
  4. Step 4: Simplify right side
    75,502.70x = 4,325,261,244.39
  5. Step 5: Solve for x
    x = 4,325,261,244.39/75,502.70
  6. Step 6: Final answer
    x = 57,286.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.