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Finding the Fourth Proportional to 86,496.83, 129,734.10 and 27,338.48

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Solution

The fourth proportional to 86,496.83, 129,734.10 and 27,338.48 is: 41,004.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,496.83 : 129,734.10 = 27,338.48 : x
  2. Step 2: Convert to fraction form
    86,496.83/129,734.10 = 27,338.48/x
  3. Step 3: Cross multiply
    86,496.83x = 129,734.10 × 27,338.48
  4. Step 4: Simplify right side
    86,496.83x = 3,546,732,449.50
  5. Step 5: Solve for x
    x = 3,546,732,449.50/86,496.83
  6. Step 6: Final answer
    x = 41,004.19

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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.