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Finding the Fourth Proportional to 38,180.73, 57,257.37 and 13,214

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Solution

The fourth proportional to 38,180.73, 57,257.37 and 13,214 is: 19,816.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,180.73 : 57,257.37 = 13,214 : x
  2. Step 2: Convert to fraction form
    38,180.73/57,257.37 = 13,214/x
  3. Step 3: Cross multiply
    38,180.73x = 57,257.37 × 13,214
  4. Step 4: Simplify right side
    38,180.73x = 756,598,887.18
  5. Step 5: Solve for x
    x = 756,598,887.18/38,180.73
  6. Step 6: Final answer
    x = 19,816.25

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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.