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Finding the Fourth Proportional to 33,647.36, 50,471.43 and 14,410.50

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Solution

The fourth proportional to 33,647.36, 50,471.43 and 14,410.50 is: 21,615.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,647.36 : 50,471.43 = 14,410.50 : x
  2. Step 2: Convert to fraction form
    33,647.36/50,471.43 = 14,410.50/x
  3. Step 3: Cross multiply
    33,647.36x = 50,471.43 × 14,410.50
  4. Step 4: Simplify right side
    33,647.36x = 727,318,542.02
  5. Step 5: Solve for x
    x = 727,318,542.02/33,647.36
  6. Step 6: Final answer
    x = 21,615.92

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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.