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Finding the Fourth Proportional to 50,658.40, 75,991.92 and 13,223.44

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Solution

The fourth proportional to 50,658.40, 75,991.92 and 13,223.44 is: 19,836.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,658.40 : 75,991.92 = 13,223.44 : x
  2. Step 2: Convert to fraction form
    50,658.40/75,991.92 = 13,223.44/x
  3. Step 3: Cross multiply
    50,658.40x = 75,991.92 × 13,223.44
  4. Step 4: Simplify right side
    50,658.40x = 1,004,874,594.60
  5. Step 5: Solve for x
    x = 1,004,874,594.60/50,658.40
  6. Step 6: Final answer
    x = 19,836.29

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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.