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Finding the Fourth Proportional to 23,933.50, 35,905.43 and 7,293.09

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Solution

The fourth proportional to 23,933.50, 35,905.43 and 7,293.09 is: 10,941.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,933.50 : 35,905.43 = 7,293.09 : x
  2. Step 2: Convert to fraction form
    23,933.50/35,905.43 = 7,293.09/x
  3. Step 3: Cross multiply
    23,933.50x = 35,905.43 × 7,293.09
  4. Step 4: Simplify right side
    23,933.50x = 261,861,496.01
  5. Step 5: Solve for x
    x = 261,861,496.01/23,933.50
  6. Step 6: Final answer
    x = 10,941.21

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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.