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Finding the Fourth Proportional to 31,293.76, 46,846.34 and 20,178.34

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Solution

The fourth proportional to 31,293.76, 46,846.34 and 20,178.34 is: 30,206.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,293.76 : 46,846.34 = 20,178.34 : x
  2. Step 2: Convert to fraction form
    31,293.76/46,846.34 = 20,178.34/x
  3. Step 3: Cross multiply
    31,293.76x = 46,846.34 × 20,178.34
  4. Step 4: Simplify right side
    31,293.76x = 945,281,376.28
  5. Step 5: Solve for x
    x = 945,281,376.28/31,293.76
  6. Step 6: Final answer
    x = 30,206.70

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