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Finding the Fourth Proportional to 33,637.68, 50,456.53 and 13,894.54

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Solution

The fourth proportional to 33,637.68, 50,456.53 and 13,894.54 is: 20,841.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,637.68 : 50,456.53 = 13,894.54 : x
  2. Step 2: Convert to fraction form
    33,637.68/50,456.53 = 13,894.54/x
  3. Step 3: Cross multiply
    33,637.68x = 50,456.53 × 13,894.54
  4. Step 4: Simplify right side
    33,637.68x = 701,070,274.35
  5. Step 5: Solve for x
    x = 701,070,274.35/33,637.68
  6. Step 6: Final answer
    x = 20,841.81

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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.