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Finding the Fourth Proportional to 38,144.97, 52,641.31 and 21,150.80

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Solution

The fourth proportional to 38,144.97, 52,641.31 and 21,150.80 is: 29,188.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,144.97 : 52,641.31 = 21,150.80 : x
  2. Step 2: Convert to fraction form
    38,144.97/52,641.31 = 21,150.80/x
  3. Step 3: Cross multiply
    38,144.97x = 52,641.31 × 21,150.80
  4. Step 4: Simplify right side
    38,144.97x = 1,113,405,819.55
  5. Step 5: Solve for x
    x = 1,113,405,819.55/38,144.97
  6. Step 6: Final answer
    x = 29,188.80

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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.