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Finding the Fourth Proportional to 31,662.56, 43,705.38 and 18,239.24

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Solution

The fourth proportional to 31,662.56, 43,705.38 and 18,239.24 is: 25,176.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,662.56 : 43,705.38 = 18,239.24 : x
  2. Step 2: Convert to fraction form
    31,662.56/43,705.38 = 18,239.24/x
  3. Step 3: Cross multiply
    31,662.56x = 43,705.38 × 18,239.24
  4. Step 4: Simplify right side
    31,662.56x = 797,152,915.11
  5. Step 5: Solve for x
    x = 797,152,915.11/31,662.56
  6. Step 6: Final answer
    x = 25,176.51

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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.