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Finding the Fourth Proportional to 30,169.70, 45,256.85 and 7,982.49

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Solution

The fourth proportional to 30,169.70, 45,256.85 and 7,982.49 is: 11,974.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,169.70 : 45,256.85 = 7,982.49 : x
  2. Step 2: Convert to fraction form
    30,169.70/45,256.85 = 7,982.49/x
  3. Step 3: Cross multiply
    30,169.70x = 45,256.85 × 7,982.49
  4. Step 4: Simplify right side
    30,169.70x = 361,262,352.56
  5. Step 5: Solve for x
    x = 361,262,352.56/30,169.70
  6. Step 6: Final answer
    x = 11,974.34

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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.