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Finding the Fourth Proportional to 30,410.42, 41,965.97 and 16,981.90

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Solution

The fourth proportional to 30,410.42, 41,965.97 and 16,981.90 is: 23,434.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,410.42 : 41,965.97 = 16,981.90 : x
  2. Step 2: Convert to fraction form
    30,410.42/41,965.97 = 16,981.90/x
  3. Step 3: Cross multiply
    30,410.42x = 41,965.97 × 16,981.90
  4. Step 4: Simplify right side
    30,410.42x = 712,661,716.12
  5. Step 5: Solve for x
    x = 712,661,716.12/30,410.42
  6. Step 6: Final answer
    x = 23,434.79

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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.