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Finding the Fourth Proportional to 85,474.38, 128,217.04 and 32,883.86

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Solution

The fourth proportional to 85,474.38, 128,217.04 and 32,883.86 is: 49,327.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,474.38 : 128,217.04 = 32,883.86 : x
  2. Step 2: Convert to fraction form
    85,474.38/128,217.04 = 32,883.86/x
  3. Step 3: Cross multiply
    85,474.38x = 128,217.04 × 32,883.86
  4. Step 4: Simplify right side
    85,474.38x = 4,216,271,431.31
  5. Step 5: Solve for x
    x = 4,216,271,431.31/85,474.38
  6. Step 6: Final answer
    x = 49,327.90

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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.