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Finding the Fourth Proportional to 41,912.80, 57,840.06 and 23,050

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Solution

The fourth proportional to 41,912.80, 57,840.06 and 23,050 is: 31,809.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,912.80 : 57,840.06 = 23,050 : x
  2. Step 2: Convert to fraction form
    41,912.80/57,840.06 = 23,050/x
  3. Step 3: Cross multiply
    41,912.80x = 57,840.06 × 23,050
  4. Step 4: Simplify right side
    41,912.80x = 1,333,213,383
  5. Step 5: Solve for x
    x = 1,333,213,383/41,912.80
  6. Step 6: Final answer
    x = 31,809.22

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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.