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Finding the Fourth Proportional to 30,982.31, 42,755.51 and 16,835.16

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Solution

The fourth proportional to 30,982.31, 42,755.51 and 16,835.16 is: 23,232.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,982.31 : 42,755.51 = 16,835.16 : x
  2. Step 2: Convert to fraction form
    30,982.31/42,755.51 = 16,835.16/x
  3. Step 3: Cross multiply
    30,982.31x = 42,755.51 × 16,835.16
  4. Step 4: Simplify right side
    30,982.31x = 719,795,553.78
  5. Step 5: Solve for x
    x = 719,795,553.78/30,982.31
  6. Step 6: Final answer
    x = 23,232.47

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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.