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Finding the Fourth Proportional to 31,876.32, 43,992.72 and 17,730.48

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Solution

The fourth proportional to 31,876.32, 43,992.72 and 17,730.48 is: 24,469.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,876.32 : 43,992.72 = 17,730.48 : x
  2. Step 2: Convert to fraction form
    31,876.32/43,992.72 = 17,730.48/x
  3. Step 3: Cross multiply
    31,876.32x = 43,992.72 × 17,730.48
  4. Step 4: Simplify right side
    31,876.32x = 780,012,042.11
  5. Step 5: Solve for x
    x = 780,012,042.11/31,876.32
  6. Step 6: Final answer
    x = 24,469.95

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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.