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Finding the Fourth Proportional to 31,172.40, 43,007.24 and 17,740.29

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Solution

The fourth proportional to 31,172.40, 43,007.24 and 17,740.29 is: 24,475.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,172.40 : 43,007.24 = 17,740.29 : x
  2. Step 2: Convert to fraction form
    31,172.40/43,007.24 = 17,740.29/x
  3. Step 3: Cross multiply
    31,172.40x = 43,007.24 × 17,740.29
  4. Step 4: Simplify right side
    31,172.40x = 762,960,969.42
  5. Step 5: Solve for x
    x = 762,960,969.42/31,172.40
  6. Step 6: Final answer
    x = 24,475.53

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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.