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Finding the Fourth Proportional to 37,874.67, 52,264.82 and 21,738.26

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Solution

The fourth proportional to 37,874.67, 52,264.82 and 21,738.26 is: 29,997.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,874.67 : 52,264.82 = 21,738.26 : x
  2. Step 2: Convert to fraction form
    37,874.67/52,264.82 = 21,738.26/x
  3. Step 3: Cross multiply
    37,874.67x = 52,264.82 × 21,738.26
  4. Step 4: Simplify right side
    37,874.67x = 1,136,145,876.00
  5. Step 5: Solve for x
    x = 1,136,145,876.00/37,874.67
  6. Step 6: Final answer
    x = 29,997.51

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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.