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Finding the Fourth Proportional to 33,607.10, 50,410.65 and 13,863.96

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Solution

The fourth proportional to 33,607.10, 50,410.65 and 13,863.96 is: 20,795.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,607.10 : 50,410.65 = 13,863.96 : x
  2. Step 2: Convert to fraction form
    33,607.10/50,410.65 = 13,863.96/x
  3. Step 3: Cross multiply
    33,607.10x = 50,410.65 × 13,863.96
  4. Step 4: Simplify right side
    33,607.10x = 698,891,235.17
  5. Step 5: Solve for x
    x = 698,891,235.17/33,607.10
  6. Step 6: Final answer
    x = 20,795.94

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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.