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Finding the Fourth Proportional to 41,946.50, 57,886.43 and 22,826.42

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Solution

The fourth proportional to 41,946.50, 57,886.43 and 22,826.42 is: 31,500.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,946.50 : 57,886.43 = 22,826.42 : x
  2. Step 2: Convert to fraction form
    41,946.50/57,886.43 = 22,826.42/x
  3. Step 3: Cross multiply
    41,946.50x = 57,886.43 × 22,826.42
  4. Step 4: Simplify right side
    41,946.50x = 1,321,339,559.92
  5. Step 5: Solve for x
    x = 1,321,339,559.92/41,946.50
  6. Step 6: Final answer
    x = 31,500.60

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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.