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Finding the Fourth Proportional to 38,571.30, 57,865.41 and 16,403.64

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Solution

The fourth proportional to 38,571.30, 57,865.41 and 16,403.64 is: 24,609.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,571.30 : 57,865.41 = 16,403.64 : x
  2. Step 2: Convert to fraction form
    38,571.30/57,865.41 = 16,403.64/x
  3. Step 3: Cross multiply
    38,571.30x = 57,865.41 × 16,403.64
  4. Step 4: Simplify right side
    38,571.30x = 949,203,354.09
  5. Step 5: Solve for x
    x = 949,203,354.09/38,571.30
  6. Step 6: Final answer
    x = 24,609.06

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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.