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Finding the Fourth Proportional to 76,102.57, 114,135.39 and 31,705.10

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Solution

The fourth proportional to 76,102.57, 114,135.39 and 31,705.10 is: 47,549.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,102.57 : 114,135.39 = 31,705.10 : x
  2. Step 2: Convert to fraction form
    76,102.57/114,135.39 = 31,705.10/x
  3. Step 3: Cross multiply
    76,102.57x = 114,135.39 × 31,705.10
  4. Step 4: Simplify right side
    76,102.57x = 3,618,673,953.49
  5. Step 5: Solve for x
    x = 3,618,673,953.49/76,102.57
  6. Step 6: Final answer
    x = 47,549.96

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