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Finding the Fourth Proportional to 75,823.89, 113,643.59 and 53,643.66

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Solution

The fourth proportional to 75,823.89, 113,643.59 and 53,643.66 is: 80,400.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,823.89 : 113,643.59 = 53,643.66 : x
  2. Step 2: Convert to fraction form
    75,823.89/113,643.59 = 53,643.66/x
  3. Step 3: Cross multiply
    75,823.89x = 113,643.59 × 53,643.66
  4. Step 4: Simplify right side
    75,823.89x = 6,096,258,103.14
  5. Step 5: Solve for x
    x = 6,096,258,103.14/75,823.89
  6. Step 6: Final answer
    x = 80,400.23

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