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Finding the Fourth Proportional to 50,663.97, 76,009.17 and 29,622

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Solution

The fourth proportional to 50,663.97, 76,009.17 and 29,622 is: 44,440.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,663.97 : 76,009.17 = 29,622 : x
  2. Step 2: Convert to fraction form
    50,663.97/76,009.17 = 29,622/x
  3. Step 3: Cross multiply
    50,663.97x = 76,009.17 × 29,622
  4. Step 4: Simplify right side
    50,663.97x = 2,251,543,633.74
  5. Step 5: Solve for x
    x = 2,251,543,633.74/50,663.97
  6. Step 6: Final answer
    x = 44,440.73

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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.