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Finding the Fourth Proportional to 33,105.38, 45,685.71 and 17,998.07

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Solution

The fourth proportional to 33,105.38, 45,685.71 and 17,998.07 is: 24,837.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,105.38 : 45,685.71 = 17,998.07 : x
  2. Step 2: Convert to fraction form
    33,105.38/45,685.71 = 17,998.07/x
  3. Step 3: Cross multiply
    33,105.38x = 45,685.71 × 17,998.07
  4. Step 4: Simplify right side
    33,105.38x = 822,254,378.15
  5. Step 5: Solve for x
    x = 822,254,378.15/33,105.38
  6. Step 6: Final answer
    x = 24,837.49

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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.