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Finding the Fourth Proportional to 30,408.82, 41,971.18 and 17,837.62

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Solution

The fourth proportional to 30,408.82, 41,971.18 and 17,837.62 is: 24,620.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,408.82 : 41,971.18 = 17,837.62 : x
  2. Step 2: Convert to fraction form
    30,408.82/41,971.18 = 17,837.62/x
  3. Step 3: Cross multiply
    30,408.82x = 41,971.18 × 17,837.62
  4. Step 4: Simplify right side
    30,408.82x = 748,665,959.79
  5. Step 5: Solve for x
    x = 748,665,959.79/30,408.82
  6. Step 6: Final answer
    x = 24,620.03

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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.