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Finding the Fourth Proportional to 33,099.16, 45,632.96 and 27,412.96

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Solution

The fourth proportional to 33,099.16, 45,632.96 and 27,412.96 is: 37,793.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,099.16 : 45,632.96 = 27,412.96 : x
  2. Step 2: Convert to fraction form
    33,099.16/45,632.96 = 27,412.96/x
  3. Step 3: Cross multiply
    33,099.16x = 45,632.96 × 27,412.96
  4. Step 4: Simplify right side
    33,099.16x = 1,250,934,370.10
  5. Step 5: Solve for x
    x = 1,250,934,370.10/33,099.16
  6. Step 6: Final answer
    x = 37,793.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.