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Finding the Fourth Proportional to 72,198.28, 108,297.42 and 47,568.52

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Solution

The fourth proportional to 72,198.28, 108,297.42 and 47,568.52 is: 71,352.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,198.28 : 108,297.42 = 47,568.52 : x
  2. Step 2: Convert to fraction form
    72,198.28/108,297.42 = 47,568.52/x
  3. Step 3: Cross multiply
    72,198.28x = 108,297.42 × 47,568.52
  4. Step 4: Simplify right side
    72,198.28x = 5,151,547,989.22
  5. Step 5: Solve for x
    x = 5,151,547,989.22/72,198.28
  6. Step 6: Final answer
    x = 71,352.78

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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.