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Finding the Fourth Proportional to 38,197.34, 52,711.31 and 21,201.53

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Solution

The fourth proportional to 38,197.34, 52,711.31 and 21,201.53 is: 29,257.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,197.34 : 52,711.31 = 21,201.53 : x
  2. Step 2: Convert to fraction form
    38,197.34/52,711.31 = 21,201.53/x
  3. Step 3: Cross multiply
    38,197.34x = 52,711.31 × 21,201.53
  4. Step 4: Simplify right side
    38,197.34x = 1,117,560,420.30
  5. Step 5: Solve for x
    x = 1,117,560,420.30/38,197.34
  6. Step 6: Final answer
    x = 29,257.55

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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.