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Finding the Fourth Proportional to 76,185.36, 105,123.30 and 47,871

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Solution

The fourth proportional to 76,185.36, 105,123.30 and 47,871 is: 66,054.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,185.36 : 105,123.30 = 47,871 : x
  2. Step 2: Convert to fraction form
    76,185.36/105,123.30 = 47,871/x
  3. Step 3: Cross multiply
    76,185.36x = 105,123.30 × 47,871
  4. Step 4: Simplify right side
    76,185.36x = 5,032,357,494.30
  5. Step 5: Solve for x
    x = 5,032,357,494.30/76,185.36
  6. Step 6: Final answer
    x = 66,054.13

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