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Finding the Fourth Proportional to 37,649.36, 51,949.32 and 21,734.48

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Solution

The fourth proportional to 37,649.36, 51,949.32 and 21,734.48 is: 29,989.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,649.36 : 51,949.32 = 21,734.48 : x
  2. Step 2: Convert to fraction form
    37,649.36/51,949.32 = 21,734.48/x
  3. Step 3: Cross multiply
    37,649.36x = 51,949.32 × 21,734.48
  4. Step 4: Simplify right side
    37,649.36x = 1,129,091,456.55
  5. Step 5: Solve for x
    x = 1,129,091,456.55/37,649.36
  6. Step 6: Final answer
    x = 29,989.66

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