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Finding the Fourth Proportional to 85,380.84, 128,108.16 and 32,778.09

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Solution

The fourth proportional to 85,380.84, 128,108.16 and 32,778.09 is: 49,181.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,380.84 : 128,108.16 = 32,778.09 : x
  2. Step 2: Convert to fraction form
    85,380.84/128,108.16 = 32,778.09/x
  3. Step 3: Cross multiply
    85,380.84x = 128,108.16 × 32,778.09
  4. Step 4: Simplify right side
    85,380.84x = 4,199,140,798.21
  5. Step 5: Solve for x
    x = 4,199,140,798.21/85,380.84
  6. Step 6: Final answer
    x = 49,181.30

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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.