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Finding the Fourth Proportional to 31,170.42, 43,014.04 and 17,022.96

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Solution

The fourth proportional to 31,170.42, 43,014.04 and 17,022.96 is: 23,491.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,170.42 : 43,014.04 = 17,022.96 : x
  2. Step 2: Convert to fraction form
    31,170.42/43,014.04 = 17,022.96/x
  3. Step 3: Cross multiply
    31,170.42x = 43,014.04 × 17,022.96
  4. Step 4: Simplify right side
    31,170.42x = 732,226,239.80
  5. Step 5: Solve for x
    x = 732,226,239.80/31,170.42
  6. Step 6: Final answer
    x = 23,491.06

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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.