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Finding the Fourth Proportional to 31,174.32, 43,020.61 and 17,745.57

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Solution

The fourth proportional to 31,174.32, 43,020.61 and 17,745.57 is: 24,488.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,174.32 : 43,020.61 = 17,745.57 : x
  2. Step 2: Convert to fraction form
    31,174.32/43,020.61 = 17,745.57/x
  3. Step 3: Cross multiply
    31,174.32x = 43,020.61 × 17,745.57
  4. Step 4: Simplify right side
    31,174.32x = 763,425,157.47
  5. Step 5: Solve for x
    x = 763,425,157.47/31,174.32
  6. Step 6: Final answer
    x = 24,488.92

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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.