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Finding the Fourth Proportional to 39,872.98, 59,846.46 and 20,165.50

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Solution

The fourth proportional to 39,872.98, 59,846.46 and 20,165.50 is: 30,266.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,872.98 : 59,846.46 = 20,165.50 : x
  2. Step 2: Convert to fraction form
    39,872.98/59,846.46 = 20,165.50/x
  3. Step 3: Cross multiply
    39,872.98x = 59,846.46 × 20,165.50
  4. Step 4: Simplify right side
    39,872.98x = 1,206,833,789.13
  5. Step 5: Solve for x
    x = 1,206,833,789.13/39,872.98
  6. Step 6: Final answer
    x = 30,266.96

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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.