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Finding the Fourth Proportional to 30,419.69, 41,977.44 and 16,991.78

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Solution

The fourth proportional to 30,419.69, 41,977.44 and 16,991.78 is: 23,447.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,419.69 : 41,977.44 = 16,991.78 : x
  2. Step 2: Convert to fraction form
    30,419.69/41,977.44 = 16,991.78/x
  3. Step 3: Cross multiply
    30,419.69x = 41,977.44 × 16,991.78
  4. Step 4: Simplify right side
    30,419.69x = 713,271,215.56
  5. Step 5: Solve for x
    x = 713,271,215.56/30,419.69
  6. Step 6: Final answer
    x = 23,447.69

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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.