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Finding the Fourth Proportional to 32,097.96, 48,134.66 and 11,034.09

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Solution

The fourth proportional to 32,097.96, 48,134.66 and 11,034.09 is: 16,546.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,097.96 : 48,134.66 = 11,034.09 : x
  2. Step 2: Convert to fraction form
    32,097.96/48,134.66 = 11,034.09/x
  3. Step 3: Cross multiply
    32,097.96x = 48,134.66 × 11,034.09
  4. Step 4: Simplify right side
    32,097.96x = 531,122,115.39
  5. Step 5: Solve for x
    x = 531,122,115.39/32,097.96
  6. Step 6: Final answer
    x = 16,546.91

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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.