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Finding the Fourth Proportional to 31,956.96, 44,100 and 17,808.96

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Solution

The fourth proportional to 31,956.96, 44,100 and 17,808.96 is: 24,576.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,956.96 : 44,100 = 17,808.96 : x
  2. Step 2: Convert to fraction form
    31,956.96/44,100 = 17,808.96/x
  3. Step 3: Cross multiply
    31,956.96x = 44,100 × 17,808.96
  4. Step 4: Simplify right side
    31,956.96x = 785,375,136
  5. Step 5: Solve for x
    x = 785,375,136/31,956.96
  6. Step 6: Final answer
    x = 24,576.03

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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.