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Finding the Fourth Proportional to 78,052.16, 116,993.76 and 31,280.96

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Solution

The fourth proportional to 78,052.16, 116,993.76 and 31,280.96 is: 46,887.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,052.16 : 116,993.76 = 31,280.96 : x
  2. Step 2: Convert to fraction form
    78,052.16/116,993.76 = 31,280.96/x
  3. Step 3: Cross multiply
    78,052.16x = 116,993.76 × 31,280.96
  4. Step 4: Simplify right side
    78,052.16x = 3,659,677,126.81
  5. Step 5: Solve for x
    x = 3,659,677,126.81/78,052.16
  6. Step 6: Final answer
    x = 46,887.58

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