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Finding the Fourth Proportional to 32,816.48, 49,137.36 and 17,201.44

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Solution

The fourth proportional to 32,816.48, 49,137.36 and 17,201.44 is: 25,756.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,816.48 : 49,137.36 = 17,201.44 : x
  2. Step 2: Convert to fraction form
    32,816.48/49,137.36 = 17,201.44/x
  3. Step 3: Cross multiply
    32,816.48x = 49,137.36 × 17,201.44
  4. Step 4: Simplify right side
    32,816.48x = 845,233,349.80
  5. Step 5: Solve for x
    x = 845,233,349.80/32,816.48
  6. Step 6: Final answer
    x = 25,756.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.