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Finding the Fourth Proportional to 41,941.17, 57,879.90 and 22,822.16

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Solution

The fourth proportional to 41,941.17, 57,879.90 and 22,822.16 is: 31,495.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,941.17 : 57,879.90 = 22,822.16 : x
  2. Step 2: Convert to fraction form
    41,941.17/57,879.90 = 22,822.16/x
  3. Step 3: Cross multiply
    41,941.17x = 57,879.90 × 22,822.16
  4. Step 4: Simplify right side
    41,941.17x = 1,320,944,049.18
  5. Step 5: Solve for x
    x = 1,320,944,049.18/41,941.17
  6. Step 6: Final answer
    x = 31,495.16

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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.