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Finding the Fourth Proportional to 115,893.48, 173,827.26 and 32,781

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Solution

The fourth proportional to 115,893.48, 173,827.26 and 32,781 is: 49,167.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,893.48 : 173,827.26 = 32,781 : x
  2. Step 2: Convert to fraction form
    115,893.48/173,827.26 = 32,781/x
  3. Step 3: Cross multiply
    115,893.48x = 173,827.26 × 32,781
  4. Step 4: Simplify right side
    115,893.48x = 5,698,231,410.06
  5. Step 5: Solve for x
    x = 5,698,231,410.06/115,893.48
  6. Step 6: Final answer
    x = 49,167.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.