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Finding the Fourth Proportional to 41,709.42, 57,559.68 and 22,845.33

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Solution

The fourth proportional to 41,709.42, 57,559.68 and 22,845.33 is: 31,526.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,709.42 : 57,559.68 = 22,845.33 : x
  2. Step 2: Convert to fraction form
    41,709.42/57,559.68 = 22,845.33/x
  3. Step 3: Cross multiply
    41,709.42x = 57,559.68 × 22,845.33
  4. Step 4: Simplify right side
    41,709.42x = 1,314,969,884.29
  5. Step 5: Solve for x
    x = 1,314,969,884.29/41,709.42
  6. Step 6: Final answer
    x = 31,526.93

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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.