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Finding the Fourth Proportional to 33,482.09, 50,191.10 and 12,416.49

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Solution

The fourth proportional to 33,482.09, 50,191.10 and 12,416.49 is: 18,612.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,482.09 : 50,191.10 = 12,416.49 : x
  2. Step 2: Convert to fraction form
    33,482.09/50,191.10 = 12,416.49/x
  3. Step 3: Cross multiply
    33,482.09x = 50,191.10 × 12,416.49
  4. Step 4: Simplify right side
    33,482.09x = 623,197,229.16
  5. Step 5: Solve for x
    x = 623,197,229.16/33,482.09
  6. Step 6: Final answer
    x = 18,612.86

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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.