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Finding the Fourth Proportional to 86,406.57, 129,605.54 and 33,825.69

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Solution

The fourth proportional to 86,406.57, 129,605.54 and 33,825.69 is: 50,736.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,406.57 : 129,605.54 = 33,825.69 : x
  2. Step 2: Convert to fraction form
    86,406.57/129,605.54 = 33,825.69/x
  3. Step 3: Cross multiply
    86,406.57x = 129,605.54 × 33,825.69
  4. Step 4: Simplify right side
    86,406.57x = 4,383,996,649.19
  5. Step 5: Solve for x
    x = 4,383,996,649.19/86,406.57
  6. Step 6: Final answer
    x = 50,736.84

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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.