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Finding the Fourth Proportional to 51,601.79, 71,213.34 and 38,832

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Solution

The fourth proportional to 51,601.79, 71,213.34 and 38,832 is: 53,590.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,601.79 : 71,213.34 = 38,832 : x
  2. Step 2: Convert to fraction form
    51,601.79/71,213.34 = 38,832/x
  3. Step 3: Cross multiply
    51,601.79x = 71,213.34 × 38,832
  4. Step 4: Simplify right side
    51,601.79x = 2,765,356,418.88
  5. Step 5: Solve for x
    x = 2,765,356,418.88/51,601.79
  6. Step 6: Final answer
    x = 53,590.32

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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.