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Finding the Fourth Proportional to 38,469.20, 57,703.80 and 31,902.80

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Solution

The fourth proportional to 38,469.20, 57,703.80 and 31,902.80 is: 47,854.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,469.20 : 57,703.80 = 31,902.80 : x
  2. Step 2: Convert to fraction form
    38,469.20/57,703.80 = 31,902.80/x
  3. Step 3: Cross multiply
    38,469.20x = 57,703.80 × 31,902.80
  4. Step 4: Simplify right side
    38,469.20x = 1,840,912,790.64
  5. Step 5: Solve for x
    x = 1,840,912,790.64/38,469.20
  6. Step 6: Final answer
    x = 47,854.20

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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.