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Finding the Fourth Proportional to 78,428.56, 117,664.80 and 31,714.24

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Solution

The fourth proportional to 78,428.56, 117,664.80 and 31,714.24 is: 47,580.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,428.56 : 117,664.80 = 31,714.24 : x
  2. Step 2: Convert to fraction form
    78,428.56/117,664.80 = 31,714.24/x
  3. Step 3: Cross multiply
    78,428.56x = 117,664.80 × 31,714.24
  4. Step 4: Simplify right side
    78,428.56x = 3,731,649,706.75
  5. Step 5: Solve for x
    x = 3,731,649,706.75/78,428.56
  6. Step 6: Final answer
    x = 47,580.24

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