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Finding the Fourth Proportional to 30,650.57, 45,975.76 and 8,161.25

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Solution

The fourth proportional to 30,650.57, 45,975.76 and 8,161.25 is: 12,241.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,650.57 : 45,975.76 = 8,161.25 : x
  2. Step 2: Convert to fraction form
    30,650.57/45,975.76 = 8,161.25/x
  3. Step 3: Cross multiply
    30,650.57x = 45,975.76 × 8,161.25
  4. Step 4: Simplify right side
    30,650.57x = 375,219,671.30
  5. Step 5: Solve for x
    x = 375,219,671.30/30,650.57
  6. Step 6: Final answer
    x = 12,241.85

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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.