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Finding the Fourth Proportional to 105,582.78, 145,705.50 and 57,838.14

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Solution

The fourth proportional to 105,582.78, 145,705.50 and 57,838.14 is: 79,817.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,582.78 : 145,705.50 = 57,838.14 : x
  2. Step 2: Convert to fraction form
    105,582.78/145,705.50 = 57,838.14/x
  3. Step 3: Cross multiply
    105,582.78x = 145,705.50 × 57,838.14
  4. Step 4: Simplify right side
    105,582.78x = 8,427,335,107.77
  5. Step 5: Solve for x
    x = 8,427,335,107.77/105,582.78
  6. Step 6: Final answer
    x = 79,817.33

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