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Finding the Fourth Proportional to 37,806, 56,704.94 and 11,510.97

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Solution

The fourth proportional to 37,806, 56,704.94 and 11,510.97 is: 17,265.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,806 : 56,704.94 = 11,510.97 : x
  2. Step 2: Convert to fraction form
    37,806/56,704.94 = 11,510.97/x
  3. Step 3: Cross multiply
    37,806x = 56,704.94 × 11,510.97
  4. Step 4: Simplify right side
    37,806x = 652,728,863.19
  5. Step 5: Solve for x
    x = 652,728,863.19/37,806
  6. Step 6: Final answer
    x = 17,265.22

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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.