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Finding the Fourth Proportional to 37,846.36, 52,222.62 and 21,493

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Solution

The fourth proportional to 37,846.36, 52,222.62 and 21,493 is: 29,657.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,846.36 : 52,222.62 = 21,493 : x
  2. Step 2: Convert to fraction form
    37,846.36/52,222.62 = 21,493/x
  3. Step 3: Cross multiply
    37,846.36x = 52,222.62 × 21,493
  4. Step 4: Simplify right side
    37,846.36x = 1,122,420,771.66
  5. Step 5: Solve for x
    x = 1,122,420,771.66/37,846.36
  6. Step 6: Final answer
    x = 29,657.30

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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.