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Finding the Fourth Proportional to 38,912.40, 53,699.44 and 22,146.48

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Solution

The fourth proportional to 38,912.40, 53,699.44 and 22,146.48 is: 30,562.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,912.40 : 53,699.44 = 22,146.48 : x
  2. Step 2: Convert to fraction form
    38,912.40/53,699.44 = 22,146.48/x
  3. Step 3: Cross multiply
    38,912.40x = 53,699.44 × 22,146.48
  4. Step 4: Simplify right side
    38,912.40x = 1,189,253,573.97
  5. Step 5: Solve for x
    x = 1,189,253,573.97/38,912.40
  6. Step 6: Final answer
    x = 30,562.33

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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.