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Finding the Fourth Proportional to 31,956.78, 44,100.26 and 18,535.82

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Solution

The fourth proportional to 31,956.78, 44,100.26 and 18,535.82 is: 25,579.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,956.78 : 44,100.26 = 18,535.82 : x
  2. Step 2: Convert to fraction form
    31,956.78/44,100.26 = 18,535.82/x
  3. Step 3: Cross multiply
    31,956.78x = 44,100.26 × 18,535.82
  4. Step 4: Simplify right side
    31,956.78x = 817,434,481.31
  5. Step 5: Solve for x
    x = 817,434,481.31/31,956.78
  6. Step 6: Final answer
    x = 25,579.38

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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.