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Finding the Fourth Proportional to 32,938.80, 49,408.30 and 7,978.78

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Solution

The fourth proportional to 32,938.80, 49,408.30 and 7,978.78 is: 11,968.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,938.80 : 49,408.30 = 7,978.78 : x
  2. Step 2: Convert to fraction form
    32,938.80/49,408.30 = 7,978.78/x
  3. Step 3: Cross multiply
    32,938.80x = 49,408.30 × 7,978.78
  4. Step 4: Simplify right side
    32,938.80x = 394,218,027.61
  5. Step 5: Solve for x
    x = 394,218,027.61/32,938.80
  6. Step 6: Final answer
    x = 11,968.20

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