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Finding the Fourth Proportional to 38,705.67, 53,419.14 and 21,939.75

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Solution

The fourth proportional to 38,705.67, 53,419.14 and 21,939.75 is: 30,279.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,705.67 : 53,419.14 = 21,939.75 : x
  2. Step 2: Convert to fraction form
    38,705.67/53,419.14 = 21,939.75/x
  3. Step 3: Cross multiply
    38,705.67x = 53,419.14 × 21,939.75
  4. Step 4: Simplify right side
    38,705.67x = 1,172,002,576.82
  5. Step 5: Solve for x
    x = 1,172,002,576.82/38,705.67
  6. Step 6: Final answer
    x = 30,279.87

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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.