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Finding the Fourth Proportional to 30,169.76, 41,635.22 and 16,742

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Solution

The fourth proportional to 30,169.76, 41,635.22 and 16,742 is: 23,104.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,169.76 : 41,635.22 = 16,742 : x
  2. Step 2: Convert to fraction form
    30,169.76/41,635.22 = 16,742/x
  3. Step 3: Cross multiply
    30,169.76x = 41,635.22 × 16,742
  4. Step 4: Simplify right side
    30,169.76x = 697,056,853.24
  5. Step 5: Solve for x
    x = 697,056,853.24/30,169.76
  6. Step 6: Final answer
    x = 23,104.49

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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.