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Finding the Fourth Proportional to 31,469.68, 43,428.18 and 17,322.76

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Solution

The fourth proportional to 31,469.68, 43,428.18 and 17,322.76 is: 23,905.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,469.68 : 43,428.18 = 17,322.76 : x
  2. Step 2: Convert to fraction form
    31,469.68/43,428.18 = 17,322.76/x
  3. Step 3: Cross multiply
    31,469.68x = 43,428.18 × 17,322.76
  4. Step 4: Simplify right side
    31,469.68x = 752,295,939.38
  5. Step 5: Solve for x
    x = 752,295,939.38/31,469.68
  6. Step 6: Final answer
    x = 23,905.42

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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.