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Finding the Fourth Proportional to 33,638.76, 50,458.14 and 11,454.48

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Solution

The fourth proportional to 33,638.76, 50,458.14 and 11,454.48 is: 17,181.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,638.76 : 50,458.14 = 11,454.48 : x
  2. Step 2: Convert to fraction form
    33,638.76/50,458.14 = 11,454.48/x
  3. Step 3: Cross multiply
    33,638.76x = 50,458.14 × 11,454.48
  4. Step 4: Simplify right side
    33,638.76x = 577,971,755.47
  5. Step 5: Solve for x
    x = 577,971,755.47/33,638.76
  6. Step 6: Final answer
    x = 17,181.72

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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.