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Finding the Fourth Proportional to 38,246.50, 52,765.38 and 28,198.78

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Solution

The fourth proportional to 38,246.50, 52,765.38 and 28,198.78 is: 38,903.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,246.50 : 52,765.38 = 28,198.78 : x
  2. Step 2: Convert to fraction form
    38,246.50/52,765.38 = 28,198.78/x
  3. Step 3: Cross multiply
    38,246.50x = 52,765.38 × 28,198.78
  4. Step 4: Simplify right side
    38,246.50x = 1,487,919,342.24
  5. Step 5: Solve for x
    x = 1,487,919,342.24/38,246.50
  6. Step 6: Final answer
    x = 38,903.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.