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Finding the Fourth Proportional to 38,378.72, 57,563.04 and 12,083.60

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Solution

The fourth proportional to 38,378.72, 57,563.04 and 12,083.60 is: 18,123.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,378.72 : 57,563.04 = 12,083.60 : x
  2. Step 2: Convert to fraction form
    38,378.72/57,563.04 = 12,083.60/x
  3. Step 3: Cross multiply
    38,378.72x = 57,563.04 × 12,083.60
  4. Step 4: Simplify right side
    38,378.72x = 695,568,750.14
  5. Step 5: Solve for x
    x = 695,568,750.14/38,378.72
  6. Step 6: Final answer
    x = 18,123.81

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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.