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Finding the Fourth Proportional to 30,891.76, 42,630.49 and 16,744.57

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Solution

The fourth proportional to 30,891.76, 42,630.49 and 16,744.57 is: 23,107.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,891.76 : 42,630.49 = 16,744.57 : x
  2. Step 2: Convert to fraction form
    30,891.76/42,630.49 = 16,744.57/x
  3. Step 3: Cross multiply
    30,891.76x = 42,630.49 × 16,744.57
  4. Step 4: Simplify right side
    30,891.76x = 713,829,223.94
  5. Step 5: Solve for x
    x = 713,829,223.94/30,891.76
  6. Step 6: Final answer
    x = 23,107.43

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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.