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Finding the Fourth Proportional to 115,735.50, 173,612.97 and 32,629.50

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Solution

The fourth proportional to 115,735.50, 173,612.97 and 32,629.50 is: 48,946.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,735.50 : 173,612.97 = 32,629.50 : x
  2. Step 2: Convert to fraction form
    115,735.50/173,612.97 = 32,629.50/x
  3. Step 3: Cross multiply
    115,735.50x = 173,612.97 × 32,629.50
  4. Step 4: Simplify right side
    115,735.50x = 5,664,904,404.62
  5. Step 5: Solve for x
    x = 5,664,904,404.62/115,735.50
  6. Step 6: Final answer
    x = 48,946.99

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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.