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Finding the Fourth Proportional to 43,744.80, 65,617.20 and 20,416.80

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Solution

The fourth proportional to 43,744.80, 65,617.20 and 20,416.80 is: 30,625.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,744.80 : 65,617.20 = 20,416.80 : x
  2. Step 2: Convert to fraction form
    43,744.80/65,617.20 = 20,416.80/x
  3. Step 3: Cross multiply
    43,744.80x = 65,617.20 × 20,416.80
  4. Step 4: Simplify right side
    43,744.80x = 1,339,693,248.96
  5. Step 5: Solve for x
    x = 1,339,693,248.96/43,744.80
  6. Step 6: Final answer
    x = 30,625.20

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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.