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Finding the Fourth Proportional to 41,664, 57,426.39 and 31,589.22

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Solution

The fourth proportional to 41,664, 57,426.39 and 31,589.22 is: 43,540.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,664 : 57,426.39 = 31,589.22 : x
  2. Step 2: Convert to fraction form
    41,664/57,426.39 = 31,589.22/x
  3. Step 3: Cross multiply
    41,664x = 57,426.39 × 31,589.22
  4. Step 4: Simplify right side
    41,664x = 1,814,054,867.52
  5. Step 5: Solve for x
    x = 1,814,054,867.52/41,664
  6. Step 6: Final answer
    x = 43,540.10

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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.