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Finding the Fourth Proportional to 38,348.24, 57,544.72 and 16,160.24

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Solution

The fourth proportional to 38,348.24, 57,544.72 and 16,160.24 is: 24,249.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,348.24 : 57,544.72 = 16,160.24 : x
  2. Step 2: Convert to fraction form
    38,348.24/57,544.72 = 16,160.24/x
  3. Step 3: Cross multiply
    38,348.24x = 57,544.72 × 16,160.24
  4. Step 4: Simplify right side
    38,348.24x = 929,936,485.93
  5. Step 5: Solve for x
    x = 929,936,485.93/38,348.24
  6. Step 6: Final answer
    x = 24,249.78

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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.