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Finding the Fourth Proportional to 38,182.73, 57,260.37 and 13,216

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Solution

The fourth proportional to 38,182.73, 57,260.37 and 13,216 is: 19,819.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,182.73 : 57,260.37 = 13,216 : x
  2. Step 2: Convert to fraction form
    38,182.73/57,260.37 = 13,216/x
  3. Step 3: Cross multiply
    38,182.73x = 57,260.37 × 13,216
  4. Step 4: Simplify right side
    38,182.73x = 756,753,049.92
  5. Step 5: Solve for x
    x = 756,753,049.92/38,182.73
  6. Step 6: Final answer
    x = 19,819.25

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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.