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Finding the Fourth Proportional to 30,863.85, 46,234.10 and 14,201.03

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Solution

The fourth proportional to 30,863.85, 46,234.10 and 14,201.03 is: 21,273.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,863.85 : 46,234.10 = 14,201.03 : x
  2. Step 2: Convert to fraction form
    30,863.85/46,234.10 = 14,201.03/x
  3. Step 3: Cross multiply
    30,863.85x = 46,234.10 × 14,201.03
  4. Step 4: Simplify right side
    30,863.85x = 656,571,992.21
  5. Step 5: Solve for x
    x = 656,571,992.21/30,863.85
  6. Step 6: Final answer
    x = 21,273.17

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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.