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Finding the Fourth Proportional to 38,836.14, 53,560.80 and 32,815.80

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Solution

The fourth proportional to 38,836.14, 53,560.80 and 32,815.80 is: 45,257.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,836.14 : 53,560.80 = 32,815.80 : x
  2. Step 2: Convert to fraction form
    38,836.14/53,560.80 = 32,815.80/x
  3. Step 3: Cross multiply
    38,836.14x = 53,560.80 × 32,815.80
  4. Step 4: Simplify right side
    38,836.14x = 1,757,640,500.64
  5. Step 5: Solve for x
    x = 1,757,640,500.64/38,836.14
  6. Step 6: Final answer
    x = 45,257.86

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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.