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Finding the Fourth Proportional to 50,637.69, 69,882.75 and 30,500.82

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Solution

The fourth proportional to 50,637.69, 69,882.75 and 30,500.82 is: 42,092.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,637.69 : 69,882.75 = 30,500.82 : x
  2. Step 2: Convert to fraction form
    50,637.69/69,882.75 = 30,500.82/x
  3. Step 3: Cross multiply
    50,637.69x = 69,882.75 × 30,500.82
  4. Step 4: Simplify right side
    50,637.69x = 2,131,481,178.86
  5. Step 5: Solve for x
    x = 2,131,481,178.86/50,637.69
  6. Step 6: Final answer
    x = 42,092.78

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