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Finding the Fourth Proportional to 31,820.50, 43,912.31 and 17,673.46

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Solution

The fourth proportional to 31,820.50, 43,912.31 and 17,673.46 is: 24,389.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,820.50 : 43,912.31 = 17,673.46 : x
  2. Step 2: Convert to fraction form
    31,820.50/43,912.31 = 17,673.46/x
  3. Step 3: Cross multiply
    31,820.50x = 43,912.31 × 17,673.46
  4. Step 4: Simplify right side
    31,820.50x = 776,082,454.29
  5. Step 5: Solve for x
    x = 776,082,454.29/31,820.50
  6. Step 6: Final answer
    x = 24,389.39

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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.