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Finding the Fourth Proportional to 38,416.50, 57,647.43 and 16,228.44

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Solution

The fourth proportional to 38,416.50, 57,647.43 and 16,228.44 is: 24,352.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,416.50 : 57,647.43 = 16,228.44 : x
  2. Step 2: Convert to fraction form
    38,416.50/57,647.43 = 16,228.44/x
  3. Step 3: Cross multiply
    38,416.50x = 57,647.43 × 16,228.44
  4. Step 4: Simplify right side
    38,416.50x = 935,527,858.91
  5. Step 5: Solve for x
    x = 935,527,858.91/38,416.50
  6. Step 6: Final answer
    x = 24,352.24

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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.