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Finding the Fourth Proportional to 30,409.78, 41,965.10 and 16,981.27

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Solution

The fourth proportional to 30,409.78, 41,965.10 and 16,981.27 is: 23,433.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,409.78 : 41,965.10 = 16,981.27 : x
  2. Step 2: Convert to fraction form
    30,409.78/41,965.10 = 16,981.27/x
  3. Step 3: Cross multiply
    30,409.78x = 41,965.10 × 16,981.27
  4. Step 4: Simplify right side
    30,409.78x = 712,620,693.68
  5. Step 5: Solve for x
    x = 712,620,693.68/30,409.78
  6. Step 6: Final answer
    x = 23,433.93

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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.