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Finding the Fourth Proportional to 32,099.38, 48,151.94 and 8,406.88

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Solution

The fourth proportional to 32,099.38, 48,151.94 and 8,406.88 is: 12,611.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,099.38 : 48,151.94 = 8,406.88 : x
  2. Step 2: Convert to fraction form
    32,099.38/48,151.94 = 8,406.88/x
  3. Step 3: Cross multiply
    32,099.38x = 48,151.94 × 8,406.88
  4. Step 4: Simplify right side
    32,099.38x = 404,807,581.35
  5. Step 5: Solve for x
    x = 404,807,581.35/32,099.38
  6. Step 6: Final answer
    x = 12,611.07

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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.