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Finding the Fourth Proportional to 85,843.25, 128,786.75 and 32,557

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Solution

The fourth proportional to 85,843.25, 128,786.75 and 32,557 is: 48,843.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,843.25 : 128,786.75 = 32,557 : x
  2. Step 2: Convert to fraction form
    85,843.25/128,786.75 = 32,557/x
  3. Step 3: Cross multiply
    85,843.25x = 128,786.75 × 32,557
  4. Step 4: Simplify right side
    85,843.25x = 4,192,910,219.75
  5. Step 5: Solve for x
    x = 4,192,910,219.75/85,843.25
  6. Step 6: Final answer
    x = 48,843.80

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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.