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Finding the Fourth Proportional to 39,939, 54,986.26 and 31,426.12

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Solution

The fourth proportional to 39,939, 54,986.26 and 31,426.12 is: 43,266.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,939 : 54,986.26 = 31,426.12 : x
  2. Step 2: Convert to fraction form
    39,939/54,986.26 = 31,426.12/x
  3. Step 3: Cross multiply
    39,939x = 54,986.26 × 31,426.12
  4. Step 4: Simplify right side
    39,939x = 1,728,004,805.11
  5. Step 5: Solve for x
    x = 1,728,004,805.11/39,939
  6. Step 6: Final answer
    x = 43,266.10

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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.