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Finding the Fourth Proportional to 37,195.82, 55,794.04 and 13,822.26

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Solution

The fourth proportional to 37,195.82, 55,794.04 and 13,822.26 is: 20,733.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,195.82 : 55,794.04 = 13,822.26 : x
  2. Step 2: Convert to fraction form
    37,195.82/55,794.04 = 13,822.26/x
  3. Step 3: Cross multiply
    37,195.82x = 55,794.04 × 13,822.26
  4. Step 4: Simplify right side
    37,195.82x = 771,199,727.33
  5. Step 5: Solve for x
    x = 771,199,727.33/37,195.82
  6. Step 6: Final answer
    x = 20,733.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.