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Finding the Fourth Proportional to 38,654.69, 57,941.56 and 16,178.24

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Solution

The fourth proportional to 38,654.69, 57,941.56 and 16,178.24 is: 24,250.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,654.69 : 57,941.56 = 16,178.24 : x
  2. Step 2: Convert to fraction form
    38,654.69/57,941.56 = 16,178.24/x
  3. Step 3: Cross multiply
    38,654.69x = 57,941.56 × 16,178.24
  4. Step 4: Simplify right side
    38,654.69x = 937,392,537.73
  5. Step 5: Solve for x
    x = 937,392,537.73/38,654.69
  6. Step 6: Final answer
    x = 24,250.42

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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.