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Finding the Fourth Proportional to 31,706.10, 43,754.04 and 18,277.38

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Solution

The fourth proportional to 31,706.10, 43,754.04 and 18,277.38 is: 25,222.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,706.10 : 43,754.04 = 18,277.38 : x
  2. Step 2: Convert to fraction form
    31,706.10/43,754.04 = 18,277.38/x
  3. Step 3: Cross multiply
    31,706.10x = 43,754.04 × 18,277.38
  4. Step 4: Simplify right side
    31,706.10x = 799,709,215.62
  5. Step 5: Solve for x
    x = 799,709,215.62/31,706.10
  6. Step 6: Final answer
    x = 25,222.57

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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.