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Finding the Fourth Proportional to 33,804.57, 50,632.95 and 17,136

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Solution

The fourth proportional to 33,804.57, 50,632.95 and 17,136 is: 25,666.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,804.57 : 50,632.95 = 17,136 : x
  2. Step 2: Convert to fraction form
    33,804.57/50,632.95 = 17,136/x
  3. Step 3: Cross multiply
    33,804.57x = 50,632.95 × 17,136
  4. Step 4: Simplify right side
    33,804.57x = 867,646,231.20
  5. Step 5: Solve for x
    x = 867,646,231.20/33,804.57
  6. Step 6: Final answer
    x = 25,666.54

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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.