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Finding the Fourth Proportional to 50,909.56, 76,387.02 and 19,747.24

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Solution

The fourth proportional to 50,909.56, 76,387.02 and 19,747.24 is: 29,629.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,909.56 : 76,387.02 = 19,747.24 : x
  2. Step 2: Convert to fraction form
    50,909.56/76,387.02 = 19,747.24/x
  3. Step 3: Cross multiply
    50,909.56x = 76,387.02 × 19,747.24
  4. Step 4: Simplify right side
    50,909.56x = 1,508,432,816.82
  5. Step 5: Solve for x
    x = 1,508,432,816.82/50,909.56
  6. Step 6: Final answer
    x = 29,629.66

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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.