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Finding the Fourth Proportional to 31,877.86, 47,766.80 and 20,166.34

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Solution

The fourth proportional to 31,877.86, 47,766.80 and 20,166.34 is: 30,217.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,877.86 : 47,766.80 = 20,166.34 : x
  2. Step 2: Convert to fraction form
    31,877.86/47,766.80 = 20,166.34/x
  3. Step 3: Cross multiply
    31,877.86x = 47,766.80 × 20,166.34
  4. Step 4: Simplify right side
    31,877.86x = 963,281,529.51
  5. Step 5: Solve for x
    x = 963,281,529.51/31,877.86
  6. Step 6: Final answer
    x = 30,217.89

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