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Finding the Fourth Proportional to 75,786, 113,679.12 and 20,382

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Solution

The fourth proportional to 75,786, 113,679.12 and 20,382 is: 30,573.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,786 : 113,679.12 = 20,382 : x
  2. Step 2: Convert to fraction form
    75,786/113,679.12 = 20,382/x
  3. Step 3: Cross multiply
    75,786x = 113,679.12 × 20,382
  4. Step 4: Simplify right side
    75,786x = 2,317,007,823.84
  5. Step 5: Solve for x
    x = 2,317,007,823.84/75,786
  6. Step 6: Final answer
    x = 30,573.03

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