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Finding the Fourth Proportional to 71,834.10, 107,728.22 and 23,793.92

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Solution

The fourth proportional to 71,834.10, 107,728.22 and 23,793.92 is: 35,683.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,834.10 : 107,728.22 = 23,793.92 : x
  2. Step 2: Convert to fraction form
    71,834.10/107,728.22 = 23,793.92/x
  3. Step 3: Cross multiply
    71,834.10x = 107,728.22 × 23,793.92
  4. Step 4: Simplify right side
    71,834.10x = 2,563,275,990.81
  5. Step 5: Solve for x
    x = 2,563,275,990.81/71,834.10
  6. Step 6: Final answer
    x = 35,683.28

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Why These Related Problems?

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