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Finding the Fourth Proportional to 37,530, 51,770.92 and 24,103.30

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Solution

The fourth proportional to 37,530, 51,770.92 and 24,103.30 is: 33,249.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,530 : 51,770.92 = 24,103.30 : x
  2. Step 2: Convert to fraction form
    37,530/51,770.92 = 24,103.30/x
  3. Step 3: Cross multiply
    37,530x = 51,770.92 × 24,103.30
  4. Step 4: Simplify right side
    37,530x = 1,247,850,016.04
  5. Step 5: Solve for x
    x = 1,247,850,016.04/37,530
  6. Step 6: Final answer
    x = 33,249.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.