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Finding the Fourth Proportional to 75,675.84, 104,431.70 and 41,683.64

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Solution

The fourth proportional to 75,675.84, 104,431.70 and 41,683.64 is: 57,522.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,675.84 : 104,431.70 = 41,683.64 : x
  2. Step 2: Convert to fraction form
    75,675.84/104,431.70 = 41,683.64/x
  3. Step 3: Cross multiply
    75,675.84x = 104,431.70 × 41,683.64
  4. Step 4: Simplify right side
    75,675.84x = 4,353,093,387.39
  5. Step 5: Solve for x
    x = 4,353,093,387.39/75,675.84
  6. Step 6: Final answer
    x = 57,522.89

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