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Finding the Fourth Proportional to 50,984.78, 76,525.81 and 31,301.78

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Solution

The fourth proportional to 50,984.78, 76,525.81 and 31,301.78 is: 46,982.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,984.78 : 76,525.81 = 31,301.78 : x
  2. Step 2: Convert to fraction form
    50,984.78/76,525.81 = 31,301.78/x
  3. Step 3: Cross multiply
    50,984.78x = 76,525.81 × 31,301.78
  4. Step 4: Simplify right side
    50,984.78x = 2,395,393,608.06
  5. Step 5: Solve for x
    x = 2,395,393,608.06/50,984.78
  6. Step 6: Final answer
    x = 46,982.53

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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.