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Finding the Fourth Proportional to 41,908.46, 57,834 and 22,788.31

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Solution

The fourth proportional to 41,908.46, 57,834 and 22,788.31 is: 31,448.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,908.46 : 57,834 = 22,788.31 : x
  2. Step 2: Convert to fraction form
    41,908.46/57,834 = 22,788.31/x
  3. Step 3: Cross multiply
    41,908.46x = 57,834 × 22,788.31
  4. Step 4: Simplify right side
    41,908.46x = 1,317,939,247.05
  5. Step 5: Solve for x
    x = 1,317,939,247.05/41,908.46
  6. Step 6: Final answer
    x = 31,448.05

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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.