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Finding the Fourth Proportional to 52,110.78, 78,169.80 and 20,946

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Solution

The fourth proportional to 52,110.78, 78,169.80 and 20,946 is: 31,420.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,110.78 : 78,169.80 = 20,946 : x
  2. Step 2: Convert to fraction form
    52,110.78/78,169.80 = 20,946/x
  3. Step 3: Cross multiply
    52,110.78x = 78,169.80 × 20,946
  4. Step 4: Simplify right side
    52,110.78x = 1,637,344,630.80
  5. Step 5: Solve for x
    x = 1,637,344,630.80/52,110.78
  6. Step 6: Final answer
    x = 31,420.46

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