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Finding the Fourth Proportional to 31,551.72, 43,538.01 and 17,404.57

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Solution

The fourth proportional to 31,551.72, 43,538.01 and 17,404.57 is: 24,016.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,551.72 : 43,538.01 = 17,404.57 : x
  2. Step 2: Convert to fraction form
    31,551.72/43,538.01 = 17,404.57/x
  3. Step 3: Cross multiply
    31,551.72x = 43,538.01 × 17,404.57
  4. Step 4: Simplify right side
    31,551.72x = 757,760,168.53
  5. Step 5: Solve for x
    x = 757,760,168.53/31,551.72
  6. Step 6: Final answer
    x = 24,016.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.