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Finding the Fourth Proportional to 85,660.85, 128,451.30 and 32,311.72

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Solution

The fourth proportional to 85,660.85, 128,451.30 and 32,311.72 is: 48,452.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,660.85 : 128,451.30 = 32,311.72 : x
  2. Step 2: Convert to fraction form
    85,660.85/128,451.30 = 32,311.72/x
  3. Step 3: Cross multiply
    85,660.85x = 128,451.30 × 32,311.72
  4. Step 4: Simplify right side
    85,660.85x = 4,150,482,478.63
  5. Step 5: Solve for x
    x = 4,150,482,478.63/85,660.85
  6. Step 6: Final answer
    x = 48,452.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.