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Finding the Fourth Proportional to 86,454.21, 129,739.65 and 33,857.13

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Solution

The fourth proportional to 86,454.21, 129,739.65 and 33,857.13 is: 50,808.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,454.21 : 129,739.65 = 33,857.13 : x
  2. Step 2: Convert to fraction form
    86,454.21/129,739.65 = 33,857.13/x
  3. Step 3: Cross multiply
    86,454.21x = 129,739.65 × 33,857.13
  4. Step 4: Simplify right side
    86,454.21x = 4,392,612,196.20
  5. Step 5: Solve for x
    x = 4,392,612,196.20/86,454.21
  6. Step 6: Final answer
    x = 50,808.54

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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.