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Finding the Fourth Proportional to 38,394.57, 57,556.80 and 32,509.38

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Solution

The fourth proportional to 38,394.57, 57,556.80 and 32,509.38 is: 48,734.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,394.57 : 57,556.80 = 32,509.38 : x
  2. Step 2: Convert to fraction form
    38,394.57/57,556.80 = 32,509.38/x
  3. Step 3: Cross multiply
    38,394.57x = 57,556.80 × 32,509.38
  4. Step 4: Simplify right side
    38,394.57x = 1,871,135,882.78
  5. Step 5: Solve for x
    x = 1,871,135,882.78/38,394.57
  6. Step 6: Final answer
    x = 48,734.39

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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.