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Finding the Fourth Proportional to 86,002, 128,969.86 and 33,404.56

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Solution

The fourth proportional to 86,002, 128,969.86 and 33,404.56 is: 50,093.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,002 : 128,969.86 = 33,404.56 : x
  2. Step 2: Convert to fraction form
    86,002/128,969.86 = 33,404.56/x
  3. Step 3: Cross multiply
    86,002x = 128,969.86 × 33,404.56
  4. Step 4: Simplify right side
    86,002x = 4,308,181,426.56
  5. Step 5: Solve for x
    x = 4,308,181,426.56/86,002
  6. Step 6: Final answer
    x = 50,093.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.