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Finding the Fourth Proportional to 86,109.77, 129,224.24 and 33,519.53

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Solution

The fourth proportional to 86,109.77, 129,224.24 and 33,519.53 is: 50,302.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,109.77 : 129,224.24 = 33,519.53 : x
  2. Step 2: Convert to fraction form
    86,109.77/129,224.24 = 33,519.53/x
  3. Step 3: Cross multiply
    86,109.77x = 129,224.24 × 33,519.53
  4. Step 4: Simplify right side
    86,109.77x = 4,331,535,789.41
  5. Step 5: Solve for x
    x = 4,331,535,789.41/86,109.77
  6. Step 6: Final answer
    x = 50,302.49

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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.