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Finding the Fourth Proportional to 37,849.94, 52,221.08 and 22,745.97

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Solution

The fourth proportional to 37,849.94, 52,221.08 and 22,745.97 is: 31,382.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,849.94 : 52,221.08 = 22,745.97 : x
  2. Step 2: Convert to fraction form
    37,849.94/52,221.08 = 22,745.97/x
  3. Step 3: Cross multiply
    37,849.94x = 52,221.08 × 22,745.97
  4. Step 4: Simplify right side
    37,849.94x = 1,187,819,005.32
  5. Step 5: Solve for x
    x = 1,187,819,005.32/37,849.94
  6. Step 6: Final answer
    x = 31,382.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.