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Finding the Fourth Proportional to 33,781.30, 50,657.37 and 10,402.54

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Solution

The fourth proportional to 33,781.30, 50,657.37 and 10,402.54 is: 15,599.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,781.30 : 50,657.37 = 10,402.54 : x
  2. Step 2: Convert to fraction form
    33,781.30/50,657.37 = 10,402.54/x
  3. Step 3: Cross multiply
    33,781.30x = 50,657.37 × 10,402.54
  4. Step 4: Simplify right side
    33,781.30x = 526,965,317.72
  5. Step 5: Solve for x
    x = 526,965,317.72/33,781.30
  6. Step 6: Final answer
    x = 15,599.32

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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.