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Finding the Fourth Proportional to 32,778.84, 45,221.90 and 20,181.72

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Solution

The fourth proportional to 32,778.84, 45,221.90 and 20,181.72 is: 27,842.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,778.84 : 45,221.90 = 20,181.72 : x
  2. Step 2: Convert to fraction form
    32,778.84/45,221.90 = 20,181.72/x
  3. Step 3: Cross multiply
    32,778.84x = 45,221.90 × 20,181.72
  4. Step 4: Simplify right side
    32,778.84x = 912,655,723.67
  5. Step 5: Solve for x
    x = 912,655,723.67/32,778.84
  6. Step 6: Final answer
    x = 27,842.83

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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.