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Finding the Fourth Proportional to 31,761.72, 43,832.34 and 19,184.04

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Solution

The fourth proportional to 31,761.72, 43,832.34 and 19,184.04 is: 26,474.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,761.72 : 43,832.34 = 19,184.04 : x
  2. Step 2: Convert to fraction form
    31,761.72/43,832.34 = 19,184.04/x
  3. Step 3: Cross multiply
    31,761.72x = 43,832.34 × 19,184.04
  4. Step 4: Simplify right side
    31,761.72x = 840,881,363.85
  5. Step 5: Solve for x
    x = 840,881,363.85/31,761.72
  6. Step 6: Final answer
    x = 26,474.68

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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.