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Finding the Fourth Proportional to 33,204.38, 45,822.70 and 18,097.68

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Solution

The fourth proportional to 33,204.38, 45,822.70 and 18,097.68 is: 24,975.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,204.38 : 45,822.70 = 18,097.68 : x
  2. Step 2: Convert to fraction form
    33,204.38/45,822.70 = 18,097.68/x
  3. Step 3: Cross multiply
    33,204.38x = 45,822.70 × 18,097.68
  4. Step 4: Simplify right side
    33,204.38x = 829,284,561.34
  5. Step 5: Solve for x
    x = 829,284,561.34/33,204.38
  6. Step 6: Final answer
    x = 24,975.16

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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.