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Finding the Fourth Proportional to 38,617.75, 53,293.31 and 21,850.75

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Solution

The fourth proportional to 38,617.75, 53,293.31 and 21,850.75 is: 30,154.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,617.75 : 53,293.31 = 21,850.75 : x
  2. Step 2: Convert to fraction form
    38,617.75/53,293.31 = 21,850.75/x
  3. Step 3: Cross multiply
    38,617.75x = 53,293.31 × 21,850.75
  4. Step 4: Simplify right side
    38,617.75x = 1,164,498,793.48
  5. Step 5: Solve for x
    x = 1,164,498,793.48/38,617.75
  6. Step 6: Final answer
    x = 30,154.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.