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Finding the Fourth Proportional to 38,494.40, 57,743.40 and 12,201.20

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Solution

The fourth proportional to 38,494.40, 57,743.40 and 12,201.20 is: 18,302.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,494.40 : 57,743.40 = 12,201.20 : x
  2. Step 2: Convert to fraction form
    38,494.40/57,743.40 = 12,201.20/x
  3. Step 3: Cross multiply
    38,494.40x = 57,743.40 × 12,201.20
  4. Step 4: Simplify right side
    38,494.40x = 704,538,772.08
  5. Step 5: Solve for x
    x = 704,538,772.08/38,494.40
  6. Step 6: Final answer
    x = 18,302.37

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Why These Related Problems?

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