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Finding the Fourth Proportional to 109,324.53, 163,930.50 and 50,109.48

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Solution

The fourth proportional to 109,324.53, 163,930.50 and 50,109.48 is: 75,138.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,324.53 : 163,930.50 = 50,109.48 : x
  2. Step 2: Convert to fraction form
    109,324.53/163,930.50 = 50,109.48/x
  3. Step 3: Cross multiply
    109,324.53x = 163,930.50 × 50,109.48
  4. Step 4: Simplify right side
    109,324.53x = 8,214,472,111.14
  5. Step 5: Solve for x
    x = 8,214,472,111.14/109,324.53
  6. Step 6: Final answer
    x = 75,138.42

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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.