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Finding the Fourth Proportional to 55,072.50, 82,604.51 and 17,636.49

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Solution

The fourth proportional to 55,072.50, 82,604.51 and 17,636.49 is: 26,453.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,072.50 : 82,604.51 = 17,636.49 : x
  2. Step 2: Convert to fraction form
    55,072.50/82,604.51 = 17,636.49/x
  3. Step 3: Cross multiply
    55,072.50x = 82,604.51 × 17,636.49
  4. Step 4: Simplify right side
    55,072.50x = 1,456,853,526.39
  5. Step 5: Solve for x
    x = 1,456,853,526.39/55,072.50
  6. Step 6: Final answer
    x = 26,453.38

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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.