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Finding the Fourth Proportional to 81,212.17, 121,736.48 and 33,853.49

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Solution

The fourth proportional to 81,212.17, 121,736.48 and 33,853.49 is: 50,746.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,212.17 : 121,736.48 = 33,853.49 : x
  2. Step 2: Convert to fraction form
    81,212.17/121,736.48 = 33,853.49/x
  3. Step 3: Cross multiply
    81,212.17x = 121,736.48 × 33,853.49
  4. Step 4: Simplify right side
    81,212.17x = 4,121,204,282.53
  5. Step 5: Solve for x
    x = 4,121,204,282.53/81,212.17
  6. Step 6: Final answer
    x = 50,746.14

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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.