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Finding the Fourth Proportional to 30,873.72, 46,321.68 and 12,143.37

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Solution

The fourth proportional to 30,873.72, 46,321.68 and 12,143.37 is: 18,219.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,873.72 : 46,321.68 = 12,143.37 : x
  2. Step 2: Convert to fraction form
    30,873.72/46,321.68 = 12,143.37/x
  3. Step 3: Cross multiply
    30,873.72x = 46,321.68 × 12,143.37
  4. Step 4: Simplify right side
    30,873.72x = 562,501,299.26
  5. Step 5: Solve for x
    x = 562,501,299.26/30,873.72
  6. Step 6: Final answer
    x = 18,219.42

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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.