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Finding the Fourth Proportional to 78,106.73, 107,787.35 and 42,296.78

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Solution

The fourth proportional to 78,106.73, 107,787.35 and 42,296.78 is: 58,369.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,106.73 : 107,787.35 = 42,296.78 : x
  2. Step 2: Convert to fraction form
    78,106.73/107,787.35 = 42,296.78/x
  3. Step 3: Cross multiply
    78,106.73x = 107,787.35 × 42,296.78
  4. Step 4: Simplify right side
    78,106.73x = 4,559,057,618.25
  5. Step 5: Solve for x
    x = 4,559,057,618.25/78,106.73
  6. Step 6: Final answer
    x = 58,369.59

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