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Finding the Fourth Proportional to 30,509.69, 45,771.44 and 16,469.42

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Solution

The fourth proportional to 30,509.69, 45,771.44 and 16,469.42 is: 24,707.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,509.69 : 45,771.44 = 16,469.42 : x
  2. Step 2: Convert to fraction form
    30,509.69/45,771.44 = 16,469.42/x
  3. Step 3: Cross multiply
    30,509.69x = 45,771.44 × 16,469.42
  4. Step 4: Simplify right side
    30,509.69x = 753,829,099.24
  5. Step 5: Solve for x
    x = 753,829,099.24/30,509.69
  6. Step 6: Final answer
    x = 24,707.86

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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.