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Finding the Fourth Proportional to 78,426.56, 117,661.80 and 31,712.24

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Solution

The fourth proportional to 78,426.56, 117,661.80 and 31,712.24 is: 47,577.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,426.56 : 117,661.80 = 31,712.24 : x
  2. Step 2: Convert to fraction form
    78,426.56/117,661.80 = 31,712.24/x
  3. Step 3: Cross multiply
    78,426.56x = 117,661.80 × 31,712.24
  4. Step 4: Simplify right side
    78,426.56x = 3,731,319,240.43
  5. Step 5: Solve for x
    x = 3,731,319,240.43/78,426.56
  6. Step 6: Final answer
    x = 47,577.24

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