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Finding the Fourth Proportional to 20,114.70, 30,170.70 and 5,323.30

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Solution

The fourth proportional to 20,114.70, 30,170.70 and 5,323.30 is: 7,984.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,114.70 : 30,170.70 = 5,323.30 : x
  2. Step 2: Convert to fraction form
    20,114.70/30,170.70 = 5,323.30/x
  3. Step 3: Cross multiply
    20,114.70x = 30,170.70 × 5,323.30
  4. Step 4: Simplify right side
    20,114.70x = 160,607,687.31
  5. Step 5: Solve for x
    x = 160,607,687.31/20,114.70
  6. Step 6: Final answer
    x = 7,984.59

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1.5x scale

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.