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Finding the Fourth Proportional to 38,615.20, 57,922.80 and 30,320.80

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Solution

The fourth proportional to 38,615.20, 57,922.80 and 30,320.80 is: 45,481.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,615.20 : 57,922.80 = 30,320.80 : x
  2. Step 2: Convert to fraction form
    38,615.20/57,922.80 = 30,320.80/x
  3. Step 3: Cross multiply
    38,615.20x = 57,922.80 × 30,320.80
  4. Step 4: Simplify right side
    38,615.20x = 1,756,265,634.24
  5. Step 5: Solve for x
    x = 1,756,265,634.24/38,615.20
  6. Step 6: Final answer
    x = 45,481.20

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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.