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Finding the Fourth Proportional to 32,987.29, 49,481.03 and 8,027.34

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Solution

The fourth proportional to 32,987.29, 49,481.03 and 8,027.34 is: 12,041.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,987.29 : 49,481.03 = 8,027.34 : x
  2. Step 2: Convert to fraction form
    32,987.29/49,481.03 = 8,027.34/x
  3. Step 3: Cross multiply
    32,987.29x = 49,481.03 × 8,027.34
  4. Step 4: Simplify right side
    32,987.29x = 397,201,071.43
  5. Step 5: Solve for x
    x = 397,201,071.43/32,987.29
  6. Step 6: Final answer
    x = 12,041.03

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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.