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Finding the Fourth Proportional to 41,459.70, 57,214.17 and 22,596.66

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Solution

The fourth proportional to 41,459.70, 57,214.17 and 22,596.66 is: 31,183.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,459.70 : 57,214.17 = 22,596.66 : x
  2. Step 2: Convert to fraction form
    41,459.70/57,214.17 = 22,596.66/x
  3. Step 3: Cross multiply
    41,459.70x = 57,214.17 × 22,596.66
  4. Step 4: Simplify right side
    41,459.70x = 1,292,849,146.67
  5. Step 5: Solve for x
    x = 1,292,849,146.67/41,459.70
  6. Step 6: Final answer
    x = 31,183.27

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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.