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Finding the Fourth Proportional to 84,561.84, 126,853.19 and 27,634.40

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Solution

The fourth proportional to 84,561.84, 126,853.19 and 27,634.40 is: 41,455.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,561.84 : 126,853.19 = 27,634.40 : x
  2. Step 2: Convert to fraction form
    84,561.84/126,853.19 = 27,634.40/x
  3. Step 3: Cross multiply
    84,561.84x = 126,853.19 × 27,634.40
  4. Step 4: Simplify right side
    84,561.84x = 3,505,512,231.77
  5. Step 5: Solve for x
    x = 3,505,512,231.77/84,561.84
  6. Step 6: Final answer
    x = 41,455.01

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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.