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Finding the Fourth Proportional to 38,306.02, 52,861.80 and 21,539.02

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Solution

The fourth proportional to 38,306.02, 52,861.80 and 21,539.02 is: 29,723.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,306.02 : 52,861.80 = 21,539.02 : x
  2. Step 2: Convert to fraction form
    38,306.02/52,861.80 = 21,539.02/x
  3. Step 3: Cross multiply
    38,306.02x = 52,861.80 × 21,539.02
  4. Step 4: Simplify right side
    38,306.02x = 1,138,591,367.44
  5. Step 5: Solve for x
    x = 1,138,591,367.44/38,306.02
  6. Step 6: Final answer
    x = 29,723.56

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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.