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Finding the Fourth Proportional to 37,843.44, 56,713.64 and 17,849.82

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Solution

The fourth proportional to 37,843.44, 56,713.64 and 17,849.82 is: 26,750.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,843.44 : 56,713.64 = 17,849.82 : x
  2. Step 2: Convert to fraction form
    37,843.44/56,713.64 = 17,849.82/x
  3. Step 3: Cross multiply
    37,843.44x = 56,713.64 × 17,849.82
  4. Step 4: Simplify right side
    37,843.44x = 1,012,328,265.54
  5. Step 5: Solve for x
    x = 1,012,328,265.54/37,843.44
  6. Step 6: Final answer
    x = 26,750.43

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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.