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Finding the Fourth Proportional to 31,524.53, 43,506.46 and 18,098.38

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Solution

The fourth proportional to 31,524.53, 43,506.46 and 18,098.38 is: 24,977.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,524.53 : 43,506.46 = 18,098.38 : x
  2. Step 2: Convert to fraction form
    31,524.53/43,506.46 = 18,098.38/x
  3. Step 3: Cross multiply
    31,524.53x = 43,506.46 × 18,098.38
  4. Step 4: Simplify right side
    31,524.53x = 787,396,291.52
  5. Step 5: Solve for x
    x = 787,396,291.52/31,524.53
  6. Step 6: Final answer
    x = 24,977.26

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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.