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Finding the Fourth Proportional to 41,459.50, 57,214.11 and 22,596.67

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Solution

The fourth proportional to 41,459.50, 57,214.11 and 22,596.67 is: 31,183.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,459.50 : 57,214.11 = 22,596.67 : x
  2. Step 2: Convert to fraction form
    41,459.50/57,214.11 = 22,596.67/x
  3. Step 3: Cross multiply
    41,459.50x = 57,214.11 × 22,596.67
  4. Step 4: Simplify right side
    41,459.50x = 1,292,848,363.01
  5. Step 5: Solve for x
    x = 1,292,848,363.01/41,459.50
  6. Step 6: Final answer
    x = 31,183.40

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.