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Finding the Fourth Proportional to 31,300.56, 43,194.09 and 17,871.51

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Solution

The fourth proportional to 31,300.56, 43,194.09 and 17,871.51 is: 24,662.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,300.56 : 43,194.09 = 17,871.51 : x
  2. Step 2: Convert to fraction form
    31,300.56/43,194.09 = 17,871.51/x
  3. Step 3: Cross multiply
    31,300.56x = 43,194.09 × 17,871.51
  4. Step 4: Simplify right side
    31,300.56x = 771,943,611.38
  5. Step 5: Solve for x
    x = 771,943,611.38/31,300.56
  6. Step 6: Final answer
    x = 24,662.29

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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.