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Finding the Fourth Proportional to 75,408, 104,063.04 and 41,874

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Solution

The fourth proportional to 75,408, 104,063.04 and 41,874 is: 57,786.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,408 : 104,063.04 = 41,874 : x
  2. Step 2: Convert to fraction form
    75,408/104,063.04 = 41,874/x
  3. Step 3: Cross multiply
    75,408x = 104,063.04 × 41,874
  4. Step 4: Simplify right side
    75,408x = 4,357,535,736.96
  5. Step 5: Solve for x
    x = 4,357,535,736.96/75,408
  6. Step 6: Final answer
    x = 57,786.12

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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.