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Finding the Fourth Proportional to 33,578.84, 50,083.26 and 32,988.44

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Solution

The fourth proportional to 33,578.84, 50,083.26 and 32,988.44 is: 49,202.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,578.84 : 50,083.26 = 32,988.44 : x
  2. Step 2: Convert to fraction form
    33,578.84/50,083.26 = 32,988.44/x
  3. Step 3: Cross multiply
    33,578.84x = 50,083.26 × 32,988.44
  4. Step 4: Simplify right side
    33,578.84x = 1,652,168,617.51
  5. Step 5: Solve for x
    x = 1,652,168,617.51/33,578.84
  6. Step 6: Final answer
    x = 49,202.67

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.