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Finding the Fourth Proportional to 86,213.50, 129,320.28 and 27,053.80

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Solution

The fourth proportional to 86,213.50, 129,320.28 and 27,053.80 is: 40,580.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,213.50 : 129,320.28 = 27,053.80 : x
  2. Step 2: Convert to fraction form
    86,213.50/129,320.28 = 27,053.80/x
  3. Step 3: Cross multiply
    86,213.50x = 129,320.28 × 27,053.80
  4. Step 4: Simplify right side
    86,213.50x = 3,498,604,991.06
  5. Step 5: Solve for x
    x = 3,498,604,991.06/86,213.50
  6. Step 6: Final answer
    x = 40,580.71

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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.