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Finding the Fourth Proportional to 75,874.30, 104,709.44 and 41,884.26

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Solution

The fourth proportional to 75,874.30, 104,709.44 and 41,884.26 is: 57,801.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,874.30 : 104,709.44 = 41,884.26 : x
  2. Step 2: Convert to fraction form
    75,874.30/104,709.44 = 41,884.26/x
  3. Step 3: Cross multiply
    75,874.30x = 104,709.44 × 41,884.26
  4. Step 4: Simplify right side
    75,874.30x = 4,385,677,409.41
  5. Step 5: Solve for x
    x = 4,385,677,409.41/75,874.30
  6. Step 6: Final answer
    x = 57,801.88

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