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Finding the Fourth Proportional to 38,938, 53,735.04 and 23,023.96

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Solution

The fourth proportional to 38,938, 53,735.04 and 23,023.96 is: 31,773.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,938 : 53,735.04 = 23,023.96 : x
  2. Step 2: Convert to fraction form
    38,938/53,735.04 = 23,023.96/x
  3. Step 3: Cross multiply
    38,938x = 53,735.04 × 23,023.96
  4. Step 4: Simplify right side
    38,938x = 1,237,193,411.56
  5. Step 5: Solve for x
    x = 1,237,193,411.56/38,938
  6. Step 6: Final answer
    x = 31,773.42

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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.