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Finding the Fourth Proportional to 31,511.96, 43,486.29 and 17,364.81

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Solution

The fourth proportional to 31,511.96, 43,486.29 and 17,364.81 is: 23,963.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,511.96 : 43,486.29 = 17,364.81 : x
  2. Step 2: Convert to fraction form
    31,511.96/43,486.29 = 17,364.81/x
  3. Step 3: Cross multiply
    31,511.96x = 43,486.29 × 17,364.81
  4. Step 4: Simplify right side
    31,511.96x = 755,131,008.45
  5. Step 5: Solve for x
    x = 755,131,008.45/31,511.96
  6. Step 6: Final answer
    x = 23,963.31

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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.