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Finding the Fourth Proportional to 32,014.55, 48,022.68 and 8,640.92

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Solution

The fourth proportional to 32,014.55, 48,022.68 and 8,640.92 is: 12,961.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,014.55 : 48,022.68 = 8,640.92 : x
  2. Step 2: Convert to fraction form
    32,014.55/48,022.68 = 8,640.92/x
  3. Step 3: Cross multiply
    32,014.55x = 48,022.68 × 8,640.92
  4. Step 4: Simplify right side
    32,014.55x = 414,960,136.07
  5. Step 5: Solve for x
    x = 414,960,136.07/32,014.55
  6. Step 6: Final answer
    x = 12,961.61

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1.5x scale

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.