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Finding the Fourth Proportional to 30,992.41, 42,769.65 and 16,845.22

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Solution

The fourth proportional to 30,992.41, 42,769.65 and 16,845.22 is: 23,246.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,992.41 : 42,769.65 = 16,845.22 : x
  2. Step 2: Convert to fraction form
    30,992.41/42,769.65 = 16,845.22/x
  3. Step 3: Cross multiply
    30,992.41x = 42,769.65 × 16,845.22
  4. Step 4: Simplify right side
    30,992.41x = 720,464,163.57
  5. Step 5: Solve for x
    x = 720,464,163.57/30,992.41
  6. Step 6: Final answer
    x = 23,246.47

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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.