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Finding the Fourth Proportional to 32,955.99, 49,418.44 and 11,893.28

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Solution

The fourth proportional to 32,955.99, 49,418.44 and 11,893.28 is: 17,834.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,955.99 : 49,418.44 = 11,893.28 : x
  2. Step 2: Convert to fraction form
    32,955.99/49,418.44 = 11,893.28/x
  3. Step 3: Cross multiply
    32,955.99x = 49,418.44 × 11,893.28
  4. Step 4: Simplify right side
    32,955.99x = 587,747,096.99
  5. Step 5: Solve for x
    x = 587,747,096.99/32,955.99
  6. Step 6: Final answer
    x = 17,834.31

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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.