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Finding the Fourth Proportional to 78,109.14, 117,163.68 and 31,362

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Solution

The fourth proportional to 78,109.14, 117,163.68 and 31,362 is: 47,042.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,109.14 : 117,163.68 = 31,362 : x
  2. Step 2: Convert to fraction form
    78,109.14/117,163.68 = 31,362/x
  3. Step 3: Cross multiply
    78,109.14x = 117,163.68 × 31,362
  4. Step 4: Simplify right side
    78,109.14x = 3,674,487,332.16
  5. Step 5: Solve for x
    x = 3,674,487,332.16/78,109.14
  6. Step 6: Final answer
    x = 47,042.99

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