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Finding the Fourth Proportional to 32,099.46, 48,157.08 and 11,039.82

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Solution

The fourth proportional to 32,099.46, 48,157.08 and 11,039.82 is: 16,562.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,099.46 : 48,157.08 = 11,039.82 : x
  2. Step 2: Convert to fraction form
    32,099.46/48,157.08 = 11,039.82/x
  3. Step 3: Cross multiply
    32,099.46x = 48,157.08 × 11,039.82
  4. Step 4: Simplify right side
    32,099.46x = 531,645,494.93
  5. Step 5: Solve for x
    x = 531,645,494.93/32,099.46
  6. Step 6: Final answer
    x = 16,562.44

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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.