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Finding the Fourth Proportional to 27,982.70, 38,619.48 and 16,046.03

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Solution

The fourth proportional to 27,982.70, 38,619.48 and 16,046.03 is: 22,145.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,982.70 : 38,619.48 = 16,046.03 : x
  2. Step 2: Convert to fraction form
    27,982.70/38,619.48 = 16,046.03/x
  3. Step 3: Cross multiply
    27,982.70x = 38,619.48 × 16,046.03
  4. Step 4: Simplify right side
    27,982.70x = 619,689,491.39
  5. Step 5: Solve for x
    x = 619,689,491.39/27,982.70
  6. Step 6: Final answer
    x = 22,145.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.