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Finding the Fourth Proportional to 37,305.69, 51,481.84 and 20,538.69

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Solution

The fourth proportional to 37,305.69, 51,481.84 and 20,538.69 is: 28,343.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,305.69 : 51,481.84 = 20,538.69 : x
  2. Step 2: Convert to fraction form
    37,305.69/51,481.84 = 20,538.69/x
  3. Step 3: Cross multiply
    37,305.69x = 51,481.84 × 20,538.69
  4. Step 4: Simplify right side
    37,305.69x = 1,057,369,552.39
  5. Step 5: Solve for x
    x = 1,057,369,552.39/37,305.69
  6. Step 6: Final answer
    x = 28,343.39

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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.