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Finding the Fourth Proportional to 32,762.08, 45,198.84 and 20,164.96

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Solution

The fourth proportional to 32,762.08, 45,198.84 and 20,164.96 is: 27,819.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,762.08 : 45,198.84 = 20,164.96 : x
  2. Step 2: Convert to fraction form
    32,762.08/45,198.84 = 20,164.96/x
  3. Step 3: Cross multiply
    32,762.08x = 45,198.84 × 20,164.96
  4. Step 4: Simplify right side
    32,762.08x = 911,432,800.65
  5. Step 5: Solve for x
    x = 911,432,800.65/32,762.08
  6. Step 6: Final answer
    x = 27,819.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.