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Finding the Fourth Proportional to 75,853.64, 104,677.32 and 41,862.44

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Solution

The fourth proportional to 75,853.64, 104,677.32 and 41,862.44 is: 57,769.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,853.64 : 104,677.32 = 41,862.44 : x
  2. Step 2: Convert to fraction form
    75,853.64/104,677.32 = 41,862.44/x
  3. Step 3: Cross multiply
    75,853.64x = 104,677.32 × 41,862.44
  4. Step 4: Simplify right side
    75,853.64x = 4,382,048,027.86
  5. Step 5: Solve for x
    x = 4,382,048,027.86/75,853.64
  6. Step 6: Final answer
    x = 57,769.78

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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.