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Finding the Fourth Proportional to 102,096.14, 153,144.12 and 31,980.92

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Solution

The fourth proportional to 102,096.14, 153,144.12 and 31,980.92 is: 47,971.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,096.14 : 153,144.12 = 31,980.92 : x
  2. Step 2: Convert to fraction form
    102,096.14/153,144.12 = 31,980.92/x
  3. Step 3: Cross multiply
    102,096.14x = 153,144.12 × 31,980.92
  4. Step 4: Simplify right side
    102,096.14x = 4,897,689,850.19
  5. Step 5: Solve for x
    x = 4,897,689,850.19/102,096.14
  6. Step 6: Final answer
    x = 47,971.35

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