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Finding the Fourth Proportional to 33,099.38, 45,677.34 and 17,992.16

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Solution

The fourth proportional to 33,099.38, 45,677.34 and 17,992.16 is: 24,829.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,099.38 : 45,677.34 = 17,992.16 : x
  2. Step 2: Convert to fraction form
    33,099.38/45,677.34 = 17,992.16/x
  3. Step 3: Cross multiply
    33,099.38x = 45,677.34 × 17,992.16
  4. Step 4: Simplify right side
    33,099.38x = 821,834,009.65
  5. Step 5: Solve for x
    x = 821,834,009.65/33,099.38
  6. Step 6: Final answer
    x = 24,829.29

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Why These Related Problems?

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