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Finding the Fourth Proportional to 38,195.40, 52,708.26 and 21,200.40

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Solution

The fourth proportional to 38,195.40, 52,708.26 and 21,200.40 is: 29,255.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,195.40 : 52,708.26 = 21,200.40 : x
  2. Step 2: Convert to fraction form
    38,195.40/52,708.26 = 21,200.40/x
  3. Step 3: Cross multiply
    38,195.40x = 52,708.26 × 21,200.40
  4. Step 4: Simplify right side
    38,195.40x = 1,117,436,195.30
  5. Step 5: Solve for x
    x = 1,117,436,195.30/38,195.40
  6. Step 6: Final answer
    x = 29,255.78

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