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Finding the Fourth Proportional to 82,451.25, 123,677.16 and 20,121.75

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Solution

The fourth proportional to 82,451.25, 123,677.16 and 20,121.75 is: 30,182.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,451.25 : 123,677.16 = 20,121.75 : x
  2. Step 2: Convert to fraction form
    82,451.25/123,677.16 = 20,121.75/x
  3. Step 3: Cross multiply
    82,451.25x = 123,677.16 × 20,121.75
  4. Step 4: Simplify right side
    82,451.25x = 2,488,600,894.23
  5. Step 5: Solve for x
    x = 2,488,600,894.23/82,451.25
  6. Step 6: Final answer
    x = 30,182.69

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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.