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Finding the Fourth Proportional to 33,486.72, 50,214.40 and 12,412.16

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Solution

The fourth proportional to 33,486.72, 50,214.40 and 12,412.16 is: 18,612.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,486.72 : 50,214.40 = 12,412.16 : x
  2. Step 2: Convert to fraction form
    33,486.72/50,214.40 = 12,412.16/x
  3. Step 3: Cross multiply
    33,486.72x = 50,214.40 × 12,412.16
  4. Step 4: Simplify right side
    33,486.72x = 623,269,167.10
  5. Step 5: Solve for x
    x = 623,269,167.10/33,486.72
  6. Step 6: Final answer
    x = 18,612.43

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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.