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Finding the Fourth Proportional to 86,164.50, 129,256.02 and 36,249.68

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Solution

The fourth proportional to 86,164.50, 129,256.02 and 36,249.68 is: 54,378.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,164.50 : 129,256.02 = 36,249.68 : x
  2. Step 2: Convert to fraction form
    86,164.50/129,256.02 = 36,249.68/x
  3. Step 3: Cross multiply
    86,164.50x = 129,256.02 × 36,249.68
  4. Step 4: Simplify right side
    86,164.50x = 4,685,489,363.07
  5. Step 5: Solve for x
    x = 4,685,489,363.07/86,164.50
  6. Step 6: Final answer
    x = 54,378.42

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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.