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Finding the Fourth Proportional to 31,862.78, 43,958.36 and 20,531.37

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Solution

The fourth proportional to 31,862.78, 43,958.36 and 20,531.37 is: 28,325.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,862.78 : 43,958.36 = 20,531.37 : x
  2. Step 2: Convert to fraction form
    31,862.78/43,958.36 = 20,531.37/x
  3. Step 3: Cross multiply
    31,862.78x = 43,958.36 × 20,531.37
  4. Step 4: Simplify right side
    31,862.78x = 902,525,353.75
  5. Step 5: Solve for x
    x = 902,525,353.75/31,862.78
  6. Step 6: Final answer
    x = 28,325.38

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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.