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Finding the Fourth Proportional to 31,974.53, 44,113.28 and 18,538.38

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Solution

The fourth proportional to 31,974.53, 44,113.28 and 18,538.38 is: 25,576.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,974.53 : 44,113.28 = 18,538.38 : x
  2. Step 2: Convert to fraction form
    31,974.53/44,113.28 = 18,538.38/x
  3. Step 3: Cross multiply
    31,974.53x = 44,113.28 × 18,538.38
  4. Step 4: Simplify right side
    31,974.53x = 817,788,654.99
  5. Step 5: Solve for x
    x = 817,788,654.99/31,974.53
  6. Step 6: Final answer
    x = 25,576.26

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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.