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Finding the Fourth Proportional to 41,400, 62,106.48 and 13,704.48

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Solution

The fourth proportional to 41,400, 62,106.48 and 13,704.48 is: 20,558.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,400 : 62,106.48 = 13,704.48 : x
  2. Step 2: Convert to fraction form
    41,400/62,106.48 = 13,704.48/x
  3. Step 3: Cross multiply
    41,400x = 62,106.48 × 13,704.48
  4. Step 4: Simplify right side
    41,400x = 851,137,013.03
  5. Step 5: Solve for x
    x = 851,137,013.03/41,400
  6. Step 6: Final answer
    x = 20,558.87

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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.