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Finding the Fourth Proportional to 49,286.40, 73,978.20 and 24,354.60

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Solution

The fourth proportional to 49,286.40, 73,978.20 and 24,354.60 is: 36,555.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,286.40 : 73,978.20 = 24,354.60 : x
  2. Step 2: Convert to fraction form
    49,286.40/73,978.20 = 24,354.60/x
  3. Step 3: Cross multiply
    49,286.40x = 73,978.20 × 24,354.60
  4. Step 4: Simplify right side
    49,286.40x = 1,801,709,469.72
  5. Step 5: Solve for x
    x = 1,801,709,469.72/49,286.40
  6. Step 6: Final answer
    x = 36,555.92

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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.