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Finding the Fourth Proportional to 31,486.77, 43,447.32 and 17,340.54

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Solution

The fourth proportional to 31,486.77, 43,447.32 and 17,340.54 is: 23,927.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,486.77 : 43,447.32 = 17,340.54 : x
  2. Step 2: Convert to fraction form
    31,486.77/43,447.32 = 17,340.54/x
  3. Step 3: Cross multiply
    31,486.77x = 43,447.32 × 17,340.54
  4. Step 4: Simplify right side
    31,486.77x = 753,399,990.35
  5. Step 5: Solve for x
    x = 753,399,990.35/31,486.77
  6. Step 6: Final answer
    x = 23,927.51

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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.