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Finding the Fourth Proportional to 30,891.78, 42,630.71 and 16,744.66

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Solution

The fourth proportional to 30,891.78, 42,630.71 and 16,744.66 is: 23,107.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,891.78 : 42,630.71 = 16,744.66 : x
  2. Step 2: Convert to fraction form
    30,891.78/42,630.71 = 16,744.66/x
  3. Step 3: Cross multiply
    30,891.78x = 42,630.71 × 16,744.66
  4. Step 4: Simplify right side
    30,891.78x = 713,836,554.21
  5. Step 5: Solve for x
    x = 713,836,554.21/30,891.78
  6. Step 6: Final answer
    x = 23,107.65

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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.