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Finding the Fourth Proportional to 31,174.59, 43,023.13 and 17,745.85

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Solution

The fourth proportional to 31,174.59, 43,023.13 and 17,745.85 is: 24,490.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,174.59 : 43,023.13 = 17,745.85 : x
  2. Step 2: Convert to fraction form
    31,174.59/43,023.13 = 17,745.85/x
  3. Step 3: Cross multiply
    31,174.59x = 43,023.13 × 17,745.85
  4. Step 4: Simplify right side
    31,174.59x = 763,481,707.67
  5. Step 5: Solve for x
    x = 763,481,707.67/31,174.59
  6. Step 6: Final answer
    x = 24,490.52

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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.