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Finding the Fourth Proportional to 30,420.96, 41,965.20 and 19,249.44

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Solution

The fourth proportional to 30,420.96, 41,965.20 and 19,249.44 is: 26,554.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,420.96 : 41,965.20 = 19,249.44 : x
  2. Step 2: Convert to fraction form
    30,420.96/41,965.20 = 19,249.44/x
  3. Step 3: Cross multiply
    30,420.96x = 41,965.20 × 19,249.44
  4. Step 4: Simplify right side
    30,420.96x = 807,806,599.49
  5. Step 5: Solve for x
    x = 807,806,599.49/30,420.96
  6. Step 6: Final answer
    x = 26,554.28

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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.