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Finding the Fourth Proportional to 31,174.50, 43,019.20 and 17,745.72

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Solution

The fourth proportional to 31,174.50, 43,019.20 and 17,745.72 is: 24,488.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,174.50 : 43,019.20 = 17,745.72 : x
  2. Step 2: Convert to fraction form
    31,174.50/43,019.20 = 17,745.72/x
  3. Step 3: Cross multiply
    31,174.50x = 43,019.20 × 17,745.72
  4. Step 4: Simplify right side
    31,174.50x = 763,406,677.82
  5. Step 5: Solve for x
    x = 763,406,677.82/31,174.50
  6. Step 6: Final answer
    x = 24,488.18

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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.