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Finding the Fourth Proportional to 41,709, 57,558.44 and 22,846.80

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Solution

The fourth proportional to 41,709, 57,558.44 and 22,846.80 is: 31,528.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,709 : 57,558.44 = 22,846.80 : x
  2. Step 2: Convert to fraction form
    41,709/57,558.44 = 22,846.80/x
  3. Step 3: Cross multiply
    41,709x = 57,558.44 × 22,846.80
  4. Step 4: Simplify right side
    41,709x = 1,315,026,052.76
  5. Step 5: Solve for x
    x = 1,315,026,052.76/41,709
  6. Step 6: Final answer
    x = 31,528.59

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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.