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Finding the Fourth Proportional to 33,984.49, 50,976.74 and 10,612.93

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Solution

The fourth proportional to 33,984.49, 50,976.74 and 10,612.93 is: 15,919.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,984.49 : 50,976.74 = 10,612.93 : x
  2. Step 2: Convert to fraction form
    33,984.49/50,976.74 = 10,612.93/x
  3. Step 3: Cross multiply
    33,984.49x = 50,976.74 × 10,612.93
  4. Step 4: Simplify right side
    33,984.49x = 541,012,573.25
  5. Step 5: Solve for x
    x = 541,012,573.25/33,984.49
  6. Step 6: Final answer
    x = 15,919.40

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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.