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Finding the Fourth Proportional to 86,086.53, 118,765.25 and 49,781.27

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Solution

The fourth proportional to 86,086.53, 118,765.25 and 49,781.27 is: 68,678.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,086.53 : 118,765.25 = 49,781.27 : x
  2. Step 2: Convert to fraction form
    86,086.53/118,765.25 = 49,781.27/x
  3. Step 3: Cross multiply
    86,086.53x = 118,765.25 × 49,781.27
  4. Step 4: Simplify right side
    86,086.53x = 5,912,284,320.81
  5. Step 5: Solve for x
    x = 5,912,284,320.81/86,086.53
  6. Step 6: Final answer
    x = 68,678.39

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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.