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Finding the Fourth Proportional to 102,498.89, 153,766.49 and 31,419.90

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Solution

The fourth proportional to 102,498.89, 153,766.49 and 31,419.90 is: 47,135.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,498.89 : 153,766.49 = 31,419.90 : x
  2. Step 2: Convert to fraction form
    102,498.89/153,766.49 = 31,419.90/x
  3. Step 3: Cross multiply
    102,498.89x = 153,766.49 × 31,419.90
  4. Step 4: Simplify right side
    102,498.89x = 4,831,327,582.05
  5. Step 5: Solve for x
    x = 4,831,327,582.05/102,498.89
  6. Step 6: Final answer
    x = 47,135.42

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