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Finding the Fourth Proportional to 41,322.31, 57,052.25 and 31,745.14

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Solution

The fourth proportional to 41,322.31, 57,052.25 and 31,745.14 is: 43,829.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,322.31 : 57,052.25 = 31,745.14 : x
  2. Step 2: Convert to fraction form
    41,322.31/57,052.25 = 31,745.14/x
  3. Step 3: Cross multiply
    41,322.31x = 57,052.25 × 31,745.14
  4. Step 4: Simplify right side
    41,322.31x = 1,811,131,663.57
  5. Step 5: Solve for x
    x = 1,811,131,663.57/41,322.31
  6. Step 6: Final answer
    x = 43,829.39

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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.