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Finding the Fourth Proportional to 39,846.80, 59,770.20 and 27,405.20

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Solution

The fourth proportional to 39,846.80, 59,770.20 and 27,405.20 is: 41,107.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,846.80 : 59,770.20 = 27,405.20 : x
  2. Step 2: Convert to fraction form
    39,846.80/59,770.20 = 27,405.20/x
  3. Step 3: Cross multiply
    39,846.80x = 59,770.20 × 27,405.20
  4. Step 4: Simplify right side
    39,846.80x = 1,638,014,285.04
  5. Step 5: Solve for x
    x = 1,638,014,285.04/39,846.80
  6. Step 6: Final answer
    x = 41,107.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.