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Finding the Fourth Proportional to 82,405.31, 113,705.24 and 46,594.53

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Solution

The fourth proportional to 82,405.31, 113,705.24 and 46,594.53 is: 64,292.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,405.31 : 113,705.24 = 46,594.53 : x
  2. Step 2: Convert to fraction form
    82,405.31/113,705.24 = 46,594.53/x
  3. Step 3: Cross multiply
    82,405.31x = 113,705.24 × 46,594.53
  4. Step 4: Simplify right side
    82,405.31x = 5,298,041,983.36
  5. Step 5: Solve for x
    x = 5,298,041,983.36/82,405.31
  6. Step 6: Final answer
    x = 64,292.49

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