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Finding the Fourth Proportional to 30,400.25, 45,604.94 and 10,675.34

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Solution

The fourth proportional to 30,400.25, 45,604.94 and 10,675.34 is: 16,014.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,400.25 : 45,604.94 = 10,675.34 : x
  2. Step 2: Convert to fraction form
    30,400.25/45,604.94 = 10,675.34/x
  3. Step 3: Cross multiply
    30,400.25x = 45,604.94 × 10,675.34
  4. Step 4: Simplify right side
    30,400.25x = 486,847,958.78
  5. Step 5: Solve for x
    x = 486,847,958.78/30,400.25
  6. Step 6: Final answer
    x = 16,014.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.