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Finding the Fourth Proportional to 33,647, 50,463.96 and 11,460.20

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Solution

The fourth proportional to 33,647, 50,463.96 and 11,460.20 is: 17,188.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,647 : 50,463.96 = 11,460.20 : x
  2. Step 2: Convert to fraction form
    33,647/50,463.96 = 11,460.20/x
  3. Step 3: Cross multiply
    33,647x = 50,463.96 × 11,460.20
  4. Step 4: Simplify right side
    33,647x = 578,327,074.39
  5. Step 5: Solve for x
    x = 578,327,074.39/33,647
  6. Step 6: Final answer
    x = 17,188.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.