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Finding the Fourth Proportional to 31,579.44, 43,763.94 and 31,134

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Solution

The fourth proportional to 31,579.44, 43,763.94 and 31,134 is: 43,146.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,579.44 : 43,763.94 = 31,134 : x
  2. Step 2: Convert to fraction form
    31,579.44/43,763.94 = 31,134/x
  3. Step 3: Cross multiply
    31,579.44x = 43,763.94 × 31,134
  4. Step 4: Simplify right side
    31,579.44x = 1,362,546,507.96
  5. Step 5: Solve for x
    x = 1,362,546,507.96/31,579.44
  6. Step 6: Final answer
    x = 43,146.63

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.