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Finding the Fourth Proportional to 29,277.98, 43,912.50 and 9,556.50

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Solution

The fourth proportional to 29,277.98, 43,912.50 and 9,556.50 is: 14,333.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,277.98 : 43,912.50 = 9,556.50 : x
  2. Step 2: Convert to fraction form
    29,277.98/43,912.50 = 9,556.50/x
  3. Step 3: Cross multiply
    29,277.98x = 43,912.50 × 9,556.50
  4. Step 4: Simplify right side
    29,277.98x = 419,649,806.25
  5. Step 5: Solve for x
    x = 419,649,806.25/29,277.98
  6. Step 6: Final answer
    x = 14,333.29

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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.