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Finding the Fourth Proportional to 38,496.70, 57,745.05 and 30,202.30

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Solution

The fourth proportional to 38,496.70, 57,745.05 and 30,202.30 is: 45,303.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,496.70 : 57,745.05 = 30,202.30 : x
  2. Step 2: Convert to fraction form
    38,496.70/57,745.05 = 30,202.30/x
  3. Step 3: Cross multiply
    38,496.70x = 57,745.05 × 30,202.30
  4. Step 4: Simplify right side
    38,496.70x = 1,744,033,323.62
  5. Step 5: Solve for x
    x = 1,744,033,323.62/38,496.70
  6. Step 6: Final answer
    x = 45,303.45

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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.