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Finding the Fourth Proportional to 75,372.64, 104,009.04 and 41,836

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Solution

The fourth proportional to 75,372.64, 104,009.04 and 41,836 is: 57,730.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,372.64 : 104,009.04 = 41,836 : x
  2. Step 2: Convert to fraction form
    75,372.64/104,009.04 = 41,836/x
  3. Step 3: Cross multiply
    75,372.64x = 104,009.04 × 41,836
  4. Step 4: Simplify right side
    75,372.64x = 4,351,322,197.44
  5. Step 5: Solve for x
    x = 4,351,322,197.44/75,372.64
  6. Step 6: Final answer
    x = 57,730.79

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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.