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Finding the Fourth Proportional to 86,219.98, 118,982.42 and 48,494.23

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Solution

The fourth proportional to 86,219.98, 118,982.42 and 48,494.23 is: 66,921.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,219.98 : 118,982.42 = 48,494.23 : x
  2. Step 2: Convert to fraction form
    86,219.98/118,982.42 = 48,494.23/x
  3. Step 3: Cross multiply
    86,219.98x = 118,982.42 × 48,494.23
  4. Step 4: Simplify right side
    86,219.98x = 5,769,960,841.44
  5. Step 5: Solve for x
    x = 5,769,960,841.44/86,219.98
  6. Step 6: Final answer
    x = 66,921.39

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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.