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Finding the Fourth Proportional to 50,772, 76,141.26 and 17,491.32

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Solution

The fourth proportional to 50,772, 76,141.26 and 17,491.32 is: 26,231.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,772 : 76,141.26 = 17,491.32 : x
  2. Step 2: Convert to fraction form
    50,772/76,141.26 = 17,491.32/x
  3. Step 3: Cross multiply
    50,772x = 76,141.26 × 17,491.32
  4. Step 4: Simplify right side
    50,772x = 1,331,811,143.86
  5. Step 5: Solve for x
    x = 1,331,811,143.86/50,772
  6. Step 6: Final answer
    x = 26,231.21

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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.