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Finding the Fourth Proportional to 84,918.84, 117,190.38 and 49,105.40

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Solution

The fourth proportional to 84,918.84, 117,190.38 and 49,105.40 is: 67,766.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,918.84 : 117,190.38 = 49,105.40 : x
  2. Step 2: Convert to fraction form
    84,918.84/117,190.38 = 49,105.40/x
  3. Step 3: Cross multiply
    84,918.84x = 117,190.38 × 49,105.40
  4. Step 4: Simplify right side
    84,918.84x = 5,754,680,486.05
  5. Step 5: Solve for x
    x = 5,754,680,486.05/84,918.84
  6. Step 6: Final answer
    x = 67,766.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.