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Finding the Fourth Proportional to 30,410.30, 41,961.42 and 16,980.90

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Solution

The fourth proportional to 30,410.30, 41,961.42 and 16,980.90 is: 23,430.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,410.30 : 41,961.42 = 16,980.90 : x
  2. Step 2: Convert to fraction form
    30,410.30/41,961.42 = 16,980.90/x
  3. Step 3: Cross multiply
    30,410.30x = 41,961.42 × 16,980.90
  4. Step 4: Simplify right side
    30,410.30x = 712,542,676.88
  5. Step 5: Solve for x
    x = 712,542,676.88/30,410.30
  6. Step 6: Final answer
    x = 23,430.97

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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.