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Finding the Fourth Proportional to 86,496.84, 129,734.10 and 27,338.49

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Solution

The fourth proportional to 86,496.84, 129,734.10 and 27,338.49 is: 41,004.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,496.84 : 129,734.10 = 27,338.49 : x
  2. Step 2: Convert to fraction form
    86,496.84/129,734.10 = 27,338.49/x
  3. Step 3: Cross multiply
    86,496.84x = 129,734.10 × 27,338.49
  4. Step 4: Simplify right side
    86,496.84x = 3,546,734,395.51
  5. Step 5: Solve for x
    x = 3,546,734,395.51/86,496.84
  6. Step 6: Final answer
    x = 41,004.21

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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.