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Finding the Fourth Proportional to 76,538.94, 105,623.67 and 42,546.36

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Solution

The fourth proportional to 76,538.94, 105,623.67 and 42,546.36 is: 58,713.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,538.94 : 105,623.67 = 42,546.36 : x
  2. Step 2: Convert to fraction form
    76,538.94/105,623.67 = 42,546.36/x
  3. Step 3: Cross multiply
    76,538.94x = 105,623.67 × 42,546.36
  4. Step 4: Simplify right side
    76,538.94x = 4,493,902,688.34
  5. Step 5: Solve for x
    x = 4,493,902,688.34/76,538.94
  6. Step 6: Final answer
    x = 58,713.94

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