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Finding the Fourth Proportional to 38,179.73, 57,255.87 and 13,213

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Solution

The fourth proportional to 38,179.73, 57,255.87 and 13,213 is: 19,814.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,179.73 : 57,255.87 = 13,213 : x
  2. Step 2: Convert to fraction form
    38,179.73/57,255.87 = 13,213/x
  3. Step 3: Cross multiply
    38,179.73x = 57,255.87 × 13,213
  4. Step 4: Simplify right side
    38,179.73x = 756,521,810.31
  5. Step 5: Solve for x
    x = 756,521,810.31/38,179.73
  6. Step 6: Final answer
    x = 19,814.75

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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.