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Finding the Fourth Proportional to 37,957.98, 56,936.97 and 11,662.95

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Solution

The fourth proportional to 37,957.98, 56,936.97 and 11,662.95 is: 17,494.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,957.98 : 56,936.97 = 11,662.95 : x
  2. Step 2: Convert to fraction form
    37,957.98/56,936.97 = 11,662.95/x
  3. Step 3: Cross multiply
    37,957.98x = 56,936.97 × 11,662.95
  4. Step 4: Simplify right side
    37,957.98x = 664,053,034.26
  5. Step 5: Solve for x
    x = 664,053,034.26/37,957.98
  6. Step 6: Final answer
    x = 17,494.43

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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.