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Finding the Fourth Proportional to 38,197.31, 57,296.69 and 13,238.16

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Solution

The fourth proportional to 38,197.31, 57,296.69 and 13,238.16 is: 19,857.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,197.31 : 57,296.69 = 13,238.16 : x
  2. Step 2: Convert to fraction form
    38,197.31/57,296.69 = 13,238.16/x
  3. Step 3: Cross multiply
    38,197.31x = 57,296.69 × 13,238.16
  4. Step 4: Simplify right side
    38,197.31x = 758,502,683.50
  5. Step 5: Solve for x
    x = 758,502,683.50/38,197.31
  6. Step 6: Final answer
    x = 19,857.49

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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.