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Finding the Fourth Proportional to 33,049.96, 49,531.16 and 24,243.64

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Solution

The fourth proportional to 33,049.96, 49,531.16 and 24,243.64 is: 36,333.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,049.96 : 49,531.16 = 24,243.64 : x
  2. Step 2: Convert to fraction form
    33,049.96/49,531.16 = 24,243.64/x
  3. Step 3: Cross multiply
    33,049.96x = 49,531.16 × 24,243.64
  4. Step 4: Simplify right side
    33,049.96x = 1,200,815,611.82
  5. Step 5: Solve for x
    x = 1,200,815,611.82/33,049.96
  6. Step 6: Final answer
    x = 36,333.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.