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Finding the Fourth Proportional to 32,096.44, 44,292.72 and 17,949.16

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Solution

The fourth proportional to 32,096.44, 44,292.72 and 17,949.16 is: 24,769.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,096.44 : 44,292.72 = 17,949.16 : x
  2. Step 2: Convert to fraction form
    32,096.44/44,292.72 = 17,949.16/x
  3. Step 3: Cross multiply
    32,096.44x = 44,292.72 × 17,949.16
  4. Step 4: Simplify right side
    32,096.44x = 795,017,118.12
  5. Step 5: Solve for x
    x = 795,017,118.12/32,096.44
  6. Step 6: Final answer
    x = 24,769.64

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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.