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Finding the Fourth Proportional to 31,652.25, 43,678.33 and 17,309.22

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Solution

The fourth proportional to 31,652.25, 43,678.33 and 17,309.22 is: 23,885.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,652.25 : 43,678.33 = 17,309.22 : x
  2. Step 2: Convert to fraction form
    31,652.25/43,678.33 = 17,309.22/x
  3. Step 3: Cross multiply
    31,652.25x = 43,678.33 × 17,309.22
  4. Step 4: Simplify right side
    31,652.25x = 756,037,616.14
  5. Step 5: Solve for x
    x = 756,037,616.14/31,652.25
  6. Step 6: Final answer
    x = 23,885.75

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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.