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Finding the Fourth Proportional to 30,806.24, 46,200.12 and 16,007.09

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Solution

The fourth proportional to 30,806.24, 46,200.12 and 16,007.09 is: 24,005.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,806.24 : 46,200.12 = 16,007.09 : x
  2. Step 2: Convert to fraction form
    30,806.24/46,200.12 = 16,007.09/x
  3. Step 3: Cross multiply
    30,806.24x = 46,200.12 × 16,007.09
  4. Step 4: Simplify right side
    30,806.24x = 739,529,277.86
  5. Step 5: Solve for x
    x = 739,529,277.86/30,806.24
  6. Step 6: Final answer
    x = 24,005.83

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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.