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Finding the Fourth Proportional to 31,686.50, 43,676.25 and 21,474.12

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Solution

The fourth proportional to 31,686.50, 43,676.25 and 21,474.12 is: 29,599.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,686.50 : 43,676.25 = 21,474.12 : x
  2. Step 2: Convert to fraction form
    31,686.50/43,676.25 = 21,474.12/x
  3. Step 3: Cross multiply
    31,686.50x = 43,676.25 × 21,474.12
  4. Step 4: Simplify right side
    31,686.50x = 937,909,116.91
  5. Step 5: Solve for x
    x = 937,909,116.91/31,686.50
  6. Step 6: Final answer
    x = 29,599.64

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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.