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Finding the Fourth Proportional to 37,818.16, 56,649.36 and 22,198

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Solution

The fourth proportional to 37,818.16, 56,649.36 and 22,198 is: 33,251.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,818.16 : 56,649.36 = 22,198 : x
  2. Step 2: Convert to fraction form
    37,818.16/56,649.36 = 22,198/x
  3. Step 3: Cross multiply
    37,818.16x = 56,649.36 × 22,198
  4. Step 4: Simplify right side
    37,818.16x = 1,257,502,493.28
  5. Step 5: Solve for x
    x = 1,257,502,493.28/37,818.16
  6. Step 6: Final answer
    x = 33,251.29

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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.