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Finding the Fourth Proportional to 41,977.82, 57,929.30 and 22,857.30

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Solution

The fourth proportional to 41,977.82, 57,929.30 and 22,857.30 is: 31,543.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,977.82 : 57,929.30 = 22,857.30 : x
  2. Step 2: Convert to fraction form
    41,977.82/57,929.30 = 22,857.30/x
  3. Step 3: Cross multiply
    41,977.82x = 57,929.30 × 22,857.30
  4. Step 4: Simplify right side
    41,977.82x = 1,324,107,143.08
  5. Step 5: Solve for x
    x = 1,324,107,143.08/41,977.82
  6. Step 6: Final answer
    x = 31,543.02

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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.