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Finding the Fourth Proportional to 102,113.64, 153,170.34 and 31,998.42

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Solution

The fourth proportional to 102,113.64, 153,170.34 and 31,998.42 is: 47,997.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,113.64 : 153,170.34 = 31,998.42 : x
  2. Step 2: Convert to fraction form
    102,113.64/153,170.34 = 31,998.42/x
  3. Step 3: Cross multiply
    102,113.64x = 153,170.34 × 31,998.42
  4. Step 4: Simplify right side
    102,113.64x = 4,901,208,870.86
  5. Step 5: Solve for x
    x = 4,901,208,870.86/102,113.64
  6. Step 6: Final answer
    x = 47,997.59

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