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Finding the Fourth Proportional to 33,415.34, 50,103.55 and 12,640.46

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Solution

The fourth proportional to 33,415.34, 50,103.55 and 12,640.46 is: 18,953.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,415.34 : 50,103.55 = 12,640.46 : x
  2. Step 2: Convert to fraction form
    33,415.34/50,103.55 = 12,640.46/x
  3. Step 3: Cross multiply
    33,415.34x = 50,103.55 × 12,640.46
  4. Step 4: Simplify right side
    33,415.34x = 633,331,919.63
  5. Step 5: Solve for x
    x = 633,331,919.63/33,415.34
  6. Step 6: Final answer
    x = 18,953.33

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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.