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Finding the Fourth Proportional to 33,416.34, 50,105.05 and 12,641.46

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Solution

The fourth proportional to 33,416.34, 50,105.05 and 12,641.46 is: 18,954.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,416.34 : 50,105.05 = 12,641.46 : x
  2. Step 2: Convert to fraction form
    33,416.34/50,105.05 = 12,641.46/x
  3. Step 3: Cross multiply
    33,416.34x = 50,105.05 × 12,641.46
  4. Step 4: Simplify right side
    33,416.34x = 633,400,985.37
  5. Step 5: Solve for x
    x = 633,400,985.37/33,416.34
  6. Step 6: Final answer
    x = 18,954.83

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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.