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Finding the Fourth Proportional to 82,581.84, 113,969.96 and 46,778.24

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Solution

The fourth proportional to 82,581.84, 113,969.96 and 46,778.24 is: 64,557.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,581.84 : 113,969.96 = 46,778.24 : x
  2. Step 2: Convert to fraction form
    82,581.84/113,969.96 = 46,778.24/x
  3. Step 3: Cross multiply
    82,581.84x = 113,969.96 × 46,778.24
  4. Step 4: Simplify right side
    82,581.84x = 5,331,314,141.67
  5. Step 5: Solve for x
    x = 5,331,314,141.67/82,581.84
  6. Step 6: Final answer
    x = 64,557.95

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