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Finding the Fourth Proportional to 32,120.64, 48,191.04 and 11,344.32

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Solution

The fourth proportional to 32,120.64, 48,191.04 and 11,344.32 is: 17,020.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,120.64 : 48,191.04 = 11,344.32 : x
  2. Step 2: Convert to fraction form
    32,120.64/48,191.04 = 11,344.32/x
  3. Step 3: Cross multiply
    32,120.64x = 48,191.04 × 11,344.32
  4. Step 4: Simplify right side
    32,120.64x = 546,694,578.89
  5. Step 5: Solve for x
    x = 546,694,578.89/32,120.64
  6. Step 6: Final answer
    x = 17,020.04

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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.