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Finding the Fourth Proportional to 38,480.40, 57,769.20 and 20,725.20

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Solution

The fourth proportional to 38,480.40, 57,769.20 and 20,725.20 is: 31,113.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,480.40 : 57,769.20 = 20,725.20 : x
  2. Step 2: Convert to fraction form
    38,480.40/57,769.20 = 20,725.20/x
  3. Step 3: Cross multiply
    38,480.40x = 57,769.20 × 20,725.20
  4. Step 4: Simplify right side
    38,480.40x = 1,197,278,223.84
  5. Step 5: Solve for x
    x = 1,197,278,223.84/38,480.40
  6. Step 6: Final answer
    x = 31,113.98

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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.