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Finding the Fourth Proportional to 43,846.30, 65,769.42 and 15,766.44

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Solution

The fourth proportional to 43,846.30, 65,769.42 and 15,766.44 is: 23,649.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,846.30 : 65,769.42 = 15,766.44 : x
  2. Step 2: Convert to fraction form
    43,846.30/65,769.42 = 15,766.44/x
  3. Step 3: Cross multiply
    43,846.30x = 65,769.42 × 15,766.44
  4. Step 4: Simplify right side
    43,846.30x = 1,036,949,614.26
  5. Step 5: Solve for x
    x = 1,036,949,614.26/43,846.30
  6. Step 6: Final answer
    x = 23,649.65

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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.