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Finding the Fourth Proportional to 41,538, 57,322.68 and 22,675.32

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Solution

The fourth proportional to 41,538, 57,322.68 and 22,675.32 is: 31,292.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,538 : 57,322.68 = 22,675.32 : x
  2. Step 2: Convert to fraction form
    41,538/57,322.68 = 22,675.32/x
  3. Step 3: Cross multiply
    41,538x = 57,322.68 × 22,675.32
  4. Step 4: Simplify right side
    41,538x = 1,299,810,112.26
  5. Step 5: Solve for x
    x = 1,299,810,112.26/41,538
  6. Step 6: Final answer
    x = 31,292.07

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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.