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Finding the Fourth Proportional to 50,564.90, 69,793.44 and 29,351

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Solution

The fourth proportional to 50,564.90, 69,793.44 and 29,351 is: 40,512.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,564.90 : 69,793.44 = 29,351 : x
  2. Step 2: Convert to fraction form
    50,564.90/69,793.44 = 29,351/x
  3. Step 3: Cross multiply
    50,564.90x = 69,793.44 × 29,351
  4. Step 4: Simplify right side
    50,564.90x = 2,048,507,257.44
  5. Step 5: Solve for x
    x = 2,048,507,257.44/50,564.90
  6. Step 6: Final answer
    x = 40,512.44

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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.