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Finding the Fourth Proportional to 37,820.82, 52,190.93 and 21,910.40

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Solution

The fourth proportional to 37,820.82, 52,190.93 and 21,910.40 is: 30,235.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,820.82 : 52,190.93 = 21,910.40 : x
  2. Step 2: Convert to fraction form
    37,820.82/52,190.93 = 21,910.40/x
  3. Step 3: Cross multiply
    37,820.82x = 52,190.93 × 21,910.40
  4. Step 4: Simplify right side
    37,820.82x = 1,143,524,142.21
  5. Step 5: Solve for x
    x = 1,143,524,142.21/37,820.82
  6. Step 6: Final answer
    x = 30,235.31

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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.