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Finding the Fourth Proportional to 33,841.44, 46,680.84 and 24,912

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Solution

The fourth proportional to 33,841.44, 46,680.84 and 24,912 is: 34,363.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,841.44 : 46,680.84 = 24,912 : x
  2. Step 2: Convert to fraction form
    33,841.44/46,680.84 = 24,912/x
  3. Step 3: Cross multiply
    33,841.44x = 46,680.84 × 24,912
  4. Step 4: Simplify right side
    33,841.44x = 1,162,913,086.08
  5. Step 5: Solve for x
    x = 1,162,913,086.08/33,841.44
  6. Step 6: Final answer
    x = 34,363.58

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Why These Related Problems?

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