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Finding the Fourth Proportional to 38,257.16, 52,793.82 and 21,260.96

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Solution

The fourth proportional to 38,257.16, 52,793.82 and 21,260.96 is: 29,339.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,257.16 : 52,793.82 = 21,260.96 : x
  2. Step 2: Convert to fraction form
    38,257.16/52,793.82 = 21,260.96/x
  3. Step 3: Cross multiply
    38,257.16x = 52,793.82 × 21,260.96
  4. Step 4: Simplify right side
    38,257.16x = 1,122,447,295.27
  5. Step 5: Solve for x
    x = 1,122,447,295.27/38,257.16
  6. Step 6: Final answer
    x = 29,339.54

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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.