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Finding the Fourth Proportional to 115,843.82, 159,827.31 and 64,849.05

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Solution

The fourth proportional to 115,843.82, 159,827.31 and 64,849.05 is: 89,470.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,843.82 : 159,827.31 = 64,849.05 : x
  2. Step 2: Convert to fraction form
    115,843.82/159,827.31 = 64,849.05/x
  3. Step 3: Cross multiply
    115,843.82x = 159,827.31 × 64,849.05
  4. Step 4: Simplify right side
    115,843.82x = 10,364,649,217.56
  5. Step 5: Solve for x
    x = 10,364,649,217.56/115,843.82
  6. Step 6: Final answer
    x = 89,470.89

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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.