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Finding the Fourth Proportional to 43,821.50, 65,699.45 and 14,221.67

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Solution

The fourth proportional to 43,821.50, 65,699.45 and 14,221.67 is: 21,321.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,821.50 : 65,699.45 = 14,221.67 : x
  2. Step 2: Convert to fraction form
    43,821.50/65,699.45 = 14,221.67/x
  3. Step 3: Cross multiply
    43,821.50x = 65,699.45 × 14,221.67
  4. Step 4: Simplify right side
    43,821.50x = 934,355,825.97
  5. Step 5: Solve for x
    x = 934,355,825.97/43,821.50
  6. Step 6: Final answer
    x = 21,321.86

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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.