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Finding the Fourth Proportional to 30,200.97, 41,678.72 and 16,772.28

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Solution

The fourth proportional to 30,200.97, 41,678.72 and 16,772.28 is: 23,146.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,200.97 : 41,678.72 = 16,772.28 : x
  2. Step 2: Convert to fraction form
    30,200.97/41,678.72 = 16,772.28/x
  3. Step 3: Cross multiply
    30,200.97x = 41,678.72 × 16,772.28
  4. Step 4: Simplify right side
    30,200.97x = 699,047,078.02
  5. Step 5: Solve for x
    x = 699,047,078.02/30,200.97
  6. Step 6: Final answer
    x = 23,146.51

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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.