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Finding the Fourth Proportional to 76,642.23, 105,764.72 and 47,977.70

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Solution

The fourth proportional to 76,642.23, 105,764.72 and 47,977.70 is: 66,208.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,642.23 : 105,764.72 = 47,977.70 : x
  2. Step 2: Convert to fraction form
    76,642.23/105,764.72 = 47,977.70/x
  3. Step 3: Cross multiply
    76,642.23x = 105,764.72 × 47,977.70
  4. Step 4: Simplify right side
    76,642.23x = 5,074,347,238.03
  5. Step 5: Solve for x
    x = 5,074,347,238.03/76,642.23
  6. Step 6: Final answer
    x = 66,208.24

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