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Finding the Fourth Proportional to 31,653.67, 43,682.52 and 17,506.48

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Solution

The fourth proportional to 31,653.67, 43,682.52 and 17,506.48 is: 24,159.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,653.67 : 43,682.52 = 17,506.48 : x
  2. Step 2: Convert to fraction form
    31,653.67/43,682.52 = 17,506.48/x
  3. Step 3: Cross multiply
    31,653.67x = 43,682.52 × 17,506.48
  4. Step 4: Simplify right side
    31,653.67x = 764,727,162.73
  5. Step 5: Solve for x
    x = 764,727,162.73/31,653.67
  6. Step 6: Final answer
    x = 24,159.19

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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.