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Finding the Fourth Proportional to 84,122.20, 126,182.78 and 20,942

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Solution

The fourth proportional to 84,122.20, 126,182.78 and 20,942 is: 31,412.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,122.20 : 126,182.78 = 20,942 : x
  2. Step 2: Convert to fraction form
    84,122.20/126,182.78 = 20,942/x
  3. Step 3: Cross multiply
    84,122.20x = 126,182.78 × 20,942
  4. Step 4: Simplify right side
    84,122.20x = 2,642,519,778.76
  5. Step 5: Solve for x
    x = 2,642,519,778.76/84,122.20
  6. Step 6: Final answer
    x = 31,412.87

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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.