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Finding the Fourth Proportional to 85,842.75, 128,786.00 and 32,556.50

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Solution

The fourth proportional to 85,842.75, 128,786.00 and 32,556.50 is: 48,843.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,842.75 : 128,786.00 = 32,556.50 : x
  2. Step 2: Convert to fraction form
    85,842.75/128,786.00 = 32,556.50/x
  3. Step 3: Cross multiply
    85,842.75x = 128,786.00 × 32,556.50
  4. Step 4: Simplify right side
    85,842.75x = 4,192,820,602.29
  5. Step 5: Solve for x
    x = 4,192,820,602.29/85,842.75
  6. Step 6: Final answer
    x = 48,843.04

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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.