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Finding the Fourth Proportional to 32,829.83, 49,260.12 and 16,180.78

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Solution

The fourth proportional to 32,829.83, 49,260.12 and 16,180.78 is: 24,278.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,829.83 : 49,260.12 = 16,180.78 : x
  2. Step 2: Convert to fraction form
    32,829.83/49,260.12 = 16,180.78/x
  3. Step 3: Cross multiply
    32,829.83x = 49,260.12 × 16,180.78
  4. Step 4: Simplify right side
    32,829.83x = 797,067,041.34
  5. Step 5: Solve for x
    x = 797,067,041.34/32,829.83
  6. Step 6: Final answer
    x = 24,278.75

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