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Finding the Fourth Proportional to 38,203.20, 57,302.16 and 11,905.44

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Solution

The fourth proportional to 38,203.20, 57,302.16 and 11,905.44 is: 17,857.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,203.20 : 57,302.16 = 11,905.44 : x
  2. Step 2: Convert to fraction form
    38,203.20/57,302.16 = 11,905.44/x
  3. Step 3: Cross multiply
    38,203.20x = 57,302.16 × 11,905.44
  4. Step 4: Simplify right side
    38,203.20x = 682,207,427.75
  5. Step 5: Solve for x
    x = 682,207,427.75/38,203.20
  6. Step 6: Final answer
    x = 17,857.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.