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Finding the Fourth Proportional to 115,827.38, 159,832.97 and 64,828.44

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Solution

The fourth proportional to 115,827.38, 159,832.97 and 64,828.44 is: 89,458.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,827.38 : 159,832.97 = 64,828.44 : x
  2. Step 2: Convert to fraction form
    115,827.38/159,832.97 = 64,828.44/x
  3. Step 3: Cross multiply
    115,827.38x = 159,832.97 × 64,828.44
  4. Step 4: Simplify right side
    115,827.38x = 10,361,721,781.52
  5. Step 5: Solve for x
    x = 10,361,721,781.52/115,827.38
  6. Step 6: Final answer
    x = 89,458.31

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Why These Related Problems?

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