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Finding the Fourth Proportional to 30,396.96, 45,586.44 and 10,671.84

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Solution

The fourth proportional to 30,396.96, 45,586.44 and 10,671.84 is: 16,004.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,396.96 : 45,586.44 = 10,671.84 : x
  2. Step 2: Convert to fraction form
    30,396.96/45,586.44 = 10,671.84/x
  3. Step 3: Cross multiply
    30,396.96x = 45,586.44 × 10,671.84
  4. Step 4: Simplify right side
    30,396.96x = 486,491,193.85
  5. Step 5: Solve for x
    x = 486,491,193.85/30,396.96
  6. Step 6: Final answer
    x = 16,004.60

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Why These Related Problems?

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