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Finding the Fourth Proportional to 32,019.64, 44,185.68 and 17,872.16

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Solution

The fourth proportional to 32,019.64, 44,185.68 and 17,872.16 is: 24,662.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,019.64 : 44,185.68 = 17,872.16 : x
  2. Step 2: Convert to fraction form
    32,019.64/44,185.68 = 17,872.16/x
  3. Step 3: Cross multiply
    32,019.64x = 44,185.68 × 17,872.16
  4. Step 4: Simplify right side
    32,019.64x = 789,693,542.67
  5. Step 5: Solve for x
    x = 789,693,542.67/32,019.64
  6. Step 6: Final answer
    x = 24,662.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.