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Finding the Fourth Proportional to 30,823.30, 46,197.77 and 15,004.62

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Solution

The fourth proportional to 30,823.30, 46,197.77 and 15,004.62 is: 22,488.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,823.30 : 46,197.77 = 15,004.62 : x
  2. Step 2: Convert to fraction form
    30,823.30/46,197.77 = 15,004.62/x
  3. Step 3: Cross multiply
    30,823.30x = 46,197.77 × 15,004.62
  4. Step 4: Simplify right side
    30,823.30x = 693,179,993.08
  5. Step 5: Solve for x
    x = 693,179,993.08/30,823.30
  6. Step 6: Final answer
    x = 22,488.83

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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.