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Finding the Fourth Proportional to 30,419.86, 45,614.20 and 16,196.41

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Solution

The fourth proportional to 30,419.86, 45,614.20 and 16,196.41 is: 24,286.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,419.86 : 45,614.20 = 16,196.41 : x
  2. Step 2: Convert to fraction form
    30,419.86/45,614.20 = 16,196.41/x
  3. Step 3: Cross multiply
    30,419.86x = 45,614.20 × 16,196.41
  4. Step 4: Simplify right side
    30,419.86x = 738,786,285.02
  5. Step 5: Solve for x
    x = 738,786,285.02/30,419.86
  6. Step 6: Final answer
    x = 24,286.31

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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.