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Finding the Fourth Proportional to 71,782.53, 107,673.81 and 32,293.50

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Solution

The fourth proportional to 71,782.53, 107,673.81 and 32,293.50 is: 48,440.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,782.53 : 107,673.81 = 32,293.50 : x
  2. Step 2: Convert to fraction form
    71,782.53/107,673.81 = 32,293.50/x
  3. Step 3: Cross multiply
    71,782.53x = 107,673.81 × 32,293.50
  4. Step 4: Simplify right side
    71,782.53x = 3,477,164,183.24
  5. Step 5: Solve for x
    x = 3,477,164,183.24/71,782.53
  6. Step 6: Final answer
    x = 48,440.26

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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.