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Finding the Fourth Proportional to 38,513.41, 57,745.38 and 16,039.67

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Solution

The fourth proportional to 38,513.41, 57,745.38 and 16,039.67 is: 24,049.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,513.41 : 57,745.38 = 16,039.67 : x
  2. Step 2: Convert to fraction form
    38,513.41/57,745.38 = 16,039.67/x
  3. Step 3: Cross multiply
    38,513.41x = 57,745.38 × 16,039.67
  4. Step 4: Simplify right side
    38,513.41x = 926,216,550.50
  5. Step 5: Solve for x
    x = 926,216,550.50/38,513.41
  6. Step 6: Final answer
    x = 24,049.20

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Why These Related Problems?

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