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Finding the Fourth Proportional to 82,797.87, 124,121.92 and 30,195.03

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Solution

The fourth proportional to 82,797.87, 124,121.92 and 30,195.03 is: 45,265.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,797.87 : 124,121.92 = 30,195.03 : x
  2. Step 2: Convert to fraction form
    82,797.87/124,121.92 = 30,195.03/x
  3. Step 3: Cross multiply
    82,797.87x = 124,121.92 × 30,195.03
  4. Step 4: Simplify right side
    82,797.87x = 3,747,865,098.06
  5. Step 5: Solve for x
    x = 3,747,865,098.06/82,797.87
  6. Step 6: Final answer
    x = 45,265.24

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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.