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Finding the Fourth Proportional to 41,735.27, 57,614.61 and 23,826.81

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Solution

The fourth proportional to 41,735.27, 57,614.61 and 23,826.81 is: 32,892.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,735.27 : 57,614.61 = 23,826.81 : x
  2. Step 2: Convert to fraction form
    41,735.27/57,614.61 = 23,826.81/x
  3. Step 3: Cross multiply
    41,735.27x = 57,614.61 × 23,826.81
  4. Step 4: Simplify right side
    41,735.27x = 1,372,772,365.69
  5. Step 5: Solve for x
    x = 1,372,772,365.69/41,735.27
  6. Step 6: Final answer
    x = 32,892.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.