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Finding the Fourth Proportional to 33,168.96, 49,734.72 and 12,384

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Solution

The fourth proportional to 33,168.96, 49,734.72 and 12,384 is: 18,569.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,168.96 : 49,734.72 = 12,384 : x
  2. Step 2: Convert to fraction form
    33,168.96/49,734.72 = 12,384/x
  3. Step 3: Cross multiply
    33,168.96x = 49,734.72 × 12,384
  4. Step 4: Simplify right side
    33,168.96x = 615,914,772.48
  5. Step 5: Solve for x
    x = 615,914,772.48/33,168.96
  6. Step 6: Final answer
    x = 18,569.01

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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.