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Finding the Fourth Proportional to 38,049.75, 57,100.55 and 13,425.75

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Solution

The fourth proportional to 38,049.75, 57,100.55 and 13,425.75 is: 20,147.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,049.75 : 57,100.55 = 13,425.75 : x
  2. Step 2: Convert to fraction form
    38,049.75/57,100.55 = 13,425.75/x
  3. Step 3: Cross multiply
    38,049.75x = 57,100.55 × 13,425.75
  4. Step 4: Simplify right side
    38,049.75x = 766,617,642.03
  5. Step 5: Solve for x
    x = 766,617,642.03/38,049.75
  6. Step 6: Final answer
    x = 20,147.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.