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Finding the Fourth Proportional to 82,509.62, 113,853.80 and 46,206

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Solution

The fourth proportional to 82,509.62, 113,853.80 and 46,206 is: 63,758.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,509.62 : 113,853.80 = 46,206 : x
  2. Step 2: Convert to fraction form
    82,509.62/113,853.80 = 46,206/x
  3. Step 3: Cross multiply
    82,509.62x = 113,853.80 × 46,206
  4. Step 4: Simplify right side
    82,509.62x = 5,260,728,682.80
  5. Step 5: Solve for x
    x = 5,260,728,682.80/82,509.62
  6. Step 6: Final answer
    x = 63,758.97

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