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Finding the Fourth Proportional to 105,884.97, 158,789.53 and 38,399.96

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Solution

The fourth proportional to 105,884.97, 158,789.53 and 38,399.96 is: 57,586.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,884.97 : 158,789.53 = 38,399.96 : x
  2. Step 2: Convert to fraction form
    105,884.97/158,789.53 = 38,399.96/x
  3. Step 3: Cross multiply
    105,884.97x = 158,789.53 × 38,399.96
  4. Step 4: Simplify right side
    105,884.97x = 6,097,511,660.09
  5. Step 5: Solve for x
    x = 6,097,511,660.09/105,884.97
  6. Step 6: Final answer
    x = 57,586.19

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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.