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Finding the Fourth Proportional to 52,782.24, 72,851.94 and 34,878

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Solution

The fourth proportional to 52,782.24, 72,851.94 and 34,878 is: 48,139.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,782.24 : 72,851.94 = 34,878 : x
  2. Step 2: Convert to fraction form
    52,782.24/72,851.94 = 34,878/x
  3. Step 3: Cross multiply
    52,782.24x = 72,851.94 × 34,878
  4. Step 4: Simplify right side
    52,782.24x = 2,540,929,963.32
  5. Step 5: Solve for x
    x = 2,540,929,963.32/52,782.24
  6. Step 6: Final answer
    x = 48,139.87

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