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Finding the Fourth Proportional to 33,552.43, 50,291.74 and 13,820.22

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Solution

The fourth proportional to 33,552.43, 50,291.74 and 13,820.22 is: 20,715.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,552.43 : 50,291.74 = 13,820.22 : x
  2. Step 2: Convert to fraction form
    33,552.43/50,291.74 = 13,820.22/x
  3. Step 3: Cross multiply
    33,552.43x = 50,291.74 × 13,820.22
  4. Step 4: Simplify right side
    33,552.43x = 695,043,176.96
  5. Step 5: Solve for x
    x = 695,043,176.96/33,552.43
  6. Step 6: Final answer
    x = 20,715.14

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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.