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Finding the Fourth Proportional to 33,530.48, 50,290.32 and 11,343.44

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Solution

The fourth proportional to 33,530.48, 50,290.32 and 11,343.44 is: 17,013.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,530.48 : 50,290.32 = 11,343.44 : x
  2. Step 2: Convert to fraction form
    33,530.48/50,290.32 = 11,343.44/x
  3. Step 3: Cross multiply
    33,530.48x = 50,290.32 × 11,343.44
  4. Step 4: Simplify right side
    33,530.48x = 570,465,227.50
  5. Step 5: Solve for x
    x = 570,465,227.50/33,530.48
  6. Step 6: Final answer
    x = 17,013.33

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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.