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Finding the Fourth Proportional to 100,632.87, 150,940.49 and 34,071.48

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Solution

The fourth proportional to 100,632.87, 150,940.49 and 34,071.48 is: 51,104.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,632.87 : 150,940.49 = 34,071.48 : x
  2. Step 2: Convert to fraction form
    100,632.87/150,940.49 = 34,071.48/x
  3. Step 3: Cross multiply
    100,632.87x = 150,940.49 × 34,071.48
  4. Step 4: Simplify right side
    100,632.87x = 5,142,765,715.87
  5. Step 5: Solve for x
    x = 5,142,765,715.87/100,632.87
  6. Step 6: Final answer
    x = 51,104.23

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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.