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Finding the Fourth Proportional to 75,835.22, 113,512.90 and 47,657.77

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Solution

The fourth proportional to 75,835.22, 113,512.90 and 47,657.77 is: 71,335.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,835.22 : 113,512.90 = 47,657.77 : x
  2. Step 2: Convert to fraction form
    75,835.22/113,512.90 = 47,657.77/x
  3. Step 3: Cross multiply
    75,835.22x = 113,512.90 × 47,657.77
  4. Step 4: Simplify right side
    75,835.22x = 5,409,771,680.23
  5. Step 5: Solve for x
    x = 5,409,771,680.23/75,835.22
  6. Step 6: Final answer
    x = 71,335.87

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