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Finding the Fourth Proportional to 45,704.82, 68,548.82 and 20,738.87

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Solution

The fourth proportional to 45,704.82, 68,548.82 and 20,738.87 is: 31,104.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,704.82 : 68,548.82 = 20,738.87 : x
  2. Step 2: Convert to fraction form
    45,704.82/68,548.82 = 20,738.87/x
  3. Step 3: Cross multiply
    45,704.82x = 68,548.82 × 20,738.87
  4. Step 4: Simplify right side
    45,704.82x = 1,421,624,723.89
  5. Step 5: Solve for x
    x = 1,421,624,723.89/45,704.82
  6. Step 6: Final answer
    x = 31,104.48

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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.