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Finding the Fourth Proportional to 33,074.34, 49,613.13 and 13,350.44

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Solution

The fourth proportional to 33,074.34, 49,613.13 and 13,350.44 is: 20,026.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,074.34 : 49,613.13 = 13,350.44 : x
  2. Step 2: Convert to fraction form
    33,074.34/49,613.13 = 13,350.44/x
  3. Step 3: Cross multiply
    33,074.34x = 49,613.13 × 13,350.44
  4. Step 4: Simplify right side
    33,074.34x = 662,356,867.21
  5. Step 5: Solve for x
    x = 662,356,867.21/33,074.34
  6. Step 6: Final answer
    x = 20,026.31

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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.