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Finding the Fourth Proportional to 29,289.75, 43,933.01 and 8,231.24

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Solution

The fourth proportional to 29,289.75, 43,933.01 and 8,231.24 is: 12,346.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,289.75 : 43,933.01 = 8,231.24 : x
  2. Step 2: Convert to fraction form
    29,289.75/43,933.01 = 8,231.24/x
  3. Step 3: Cross multiply
    29,289.75x = 43,933.01 × 8,231.24
  4. Step 4: Simplify right side
    29,289.75x = 361,622,888.41
  5. Step 5: Solve for x
    x = 361,622,888.41/29,289.75
  6. Step 6: Final answer
    x = 12,346.40

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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.