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Finding the Fourth Proportional to 30,891.82, 42,630.66 and 16,744.90

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Solution

The fourth proportional to 30,891.82, 42,630.66 and 16,744.90 is: 23,107.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,891.82 : 42,630.66 = 16,744.90 : x
  2. Step 2: Convert to fraction form
    30,891.82/42,630.66 = 16,744.90/x
  3. Step 3: Cross multiply
    30,891.82x = 42,630.66 × 16,744.90
  4. Step 4: Simplify right side
    30,891.82x = 713,846,138.63
  5. Step 5: Solve for x
    x = 713,846,138.63/30,891.82
  6. Step 6: Final answer
    x = 23,107.93

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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.