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Finding the Fourth Proportional to 38,452.37, 57,678.19 and 12,157.11

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Solution

The fourth proportional to 38,452.37, 57,678.19 and 12,157.11 is: 18,235.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,452.37 : 57,678.19 = 12,157.11 : x
  2. Step 2: Convert to fraction form
    38,452.37/57,678.19 = 12,157.11/x
  3. Step 3: Cross multiply
    38,452.37x = 57,678.19 × 12,157.11
  4. Step 4: Simplify right side
    38,452.37x = 701,200,070.04
  5. Step 5: Solve for x
    x = 701,200,070.04/38,452.37
  6. Step 6: Final answer
    x = 18,235.55

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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.