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Finding the Fourth Proportional to 86,333.56, 129,448.38 and 33,767.80

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Solution

The fourth proportional to 86,333.56, 129,448.38 and 33,767.80 is: 50,631.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,333.56 : 129,448.38 = 33,767.80 : x
  2. Step 2: Convert to fraction form
    86,333.56/129,448.38 = 33,767.80/x
  3. Step 3: Cross multiply
    86,333.56x = 129,448.38 × 33,767.80
  4. Step 4: Simplify right side
    86,333.56x = 4,371,187,006.16
  5. Step 5: Solve for x
    x = 4,371,187,006.16/86,333.56
  6. Step 6: Final answer
    x = 50,631.38

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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.