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Finding the Fourth Proportional to 30,433.95, 41,996.46 and 16,821.42

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Solution

The fourth proportional to 30,433.95, 41,996.46 and 16,821.42 is: 23,212.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,433.95 : 41,996.46 = 16,821.42 : x
  2. Step 2: Convert to fraction form
    30,433.95/41,996.46 = 16,821.42/x
  3. Step 3: Cross multiply
    30,433.95x = 41,996.46 × 16,821.42
  4. Step 4: Simplify right side
    30,433.95x = 706,440,092.17
  5. Step 5: Solve for x
    x = 706,440,092.17/30,433.95
  6. Step 6: Final answer
    x = 23,212.24

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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.