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Finding the Fourth Proportional to 37,994, 52,431.74 and 21,227

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Solution

The fourth proportional to 37,994, 52,431.74 and 21,227 is: 29,293.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,994 : 52,431.74 = 21,227 : x
  2. Step 2: Convert to fraction form
    37,994/52,431.74 = 21,227/x
  3. Step 3: Cross multiply
    37,994x = 52,431.74 × 21,227
  4. Step 4: Simplify right side
    37,994x = 1,112,968,544.98
  5. Step 5: Solve for x
    x = 1,112,968,544.98/37,994
  6. Step 6: Final answer
    x = 29,293.27

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Why These Related Problems?

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