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Finding the Fourth Proportional to 30,984.84, 42,757.56 and 16,837.20

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Solution

The fourth proportional to 30,984.84, 42,757.56 and 16,837.20 is: 23,234.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,984.84 : 42,757.56 = 16,837.20 : x
  2. Step 2: Convert to fraction form
    30,984.84/42,757.56 = 16,837.20/x
  3. Step 3: Cross multiply
    30,984.84x = 42,757.56 × 16,837.20
  4. Step 4: Simplify right side
    30,984.84x = 719,917,589.23
  5. Step 5: Solve for x
    x = 719,917,589.23/30,984.84
  6. Step 6: Final answer
    x = 23,234.51

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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.