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Finding the Fourth Proportional to 38,201.36, 57,303.56 and 18,200.57

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Solution

The fourth proportional to 38,201.36, 57,303.56 and 18,200.57 is: 27,301.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,201.36 : 57,303.56 = 18,200.57 : x
  2. Step 2: Convert to fraction form
    38,201.36/57,303.56 = 18,200.57/x
  3. Step 3: Cross multiply
    38,201.36x = 57,303.56 × 18,200.57
  4. Step 4: Simplify right side
    38,201.36x = 1,042,957,214.01
  5. Step 5: Solve for x
    x = 1,042,957,214.01/38,201.36
  6. Step 6: Final answer
    x = 27,301.58

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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.