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Finding the Fourth Proportional to 30,982.60, 46,475.34 and 10,206.28

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Solution

The fourth proportional to 30,982.60, 46,475.34 and 10,206.28 is: 15,309.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,982.60 : 46,475.34 = 10,206.28 : x
  2. Step 2: Convert to fraction form
    30,982.60/46,475.34 = 10,206.28/x
  3. Step 3: Cross multiply
    30,982.60x = 46,475.34 × 10,206.28
  4. Step 4: Simplify right side
    30,982.60x = 474,340,333.14
  5. Step 5: Solve for x
    x = 474,340,333.14/30,982.60
  6. Step 6: Final answer
    x = 15,309.89

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