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Finding the Fourth Proportional to 38,439.86, 57,662.22 and 16,250.31

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Solution

The fourth proportional to 38,439.86, 57,662.22 and 16,250.31 is: 24,376.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,439.86 : 57,662.22 = 16,250.31 : x
  2. Step 2: Convert to fraction form
    38,439.86/57,662.22 = 16,250.31/x
  3. Step 3: Cross multiply
    38,439.86x = 57,662.22 × 16,250.31
  4. Step 4: Simplify right side
    38,439.86x = 937,029,105.58
  5. Step 5: Solve for x
    x = 937,029,105.58/38,439.86
  6. Step 6: Final answer
    x = 24,376.50

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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.