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Finding the Fourth Proportional to 20,114.37, 30,168 and 5,323.50

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Solution

The fourth proportional to 20,114.37, 30,168 and 5,323.50 is: 7,984.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,114.37 : 30,168 = 5,323.50 : x
  2. Step 2: Convert to fraction form
    20,114.37/30,168 = 5,323.50/x
  3. Step 3: Cross multiply
    20,114.37x = 30,168 × 5,323.50
  4. Step 4: Simplify right side
    20,114.37x = 160,599,348
  5. Step 5: Solve for x
    x = 160,599,348/20,114.37
  6. Step 6: Final answer
    x = 7,984.31

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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.