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Finding the Fourth Proportional to 31,771.43, 43,846.01 and 17,624.28

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Solution

The fourth proportional to 31,771.43, 43,846.01 and 17,624.28 is: 24,322.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,771.43 : 43,846.01 = 17,624.28 : x
  2. Step 2: Convert to fraction form
    31,771.43/43,846.01 = 17,624.28/x
  3. Step 3: Cross multiply
    31,771.43x = 43,846.01 × 17,624.28
  4. Step 4: Simplify right side
    31,771.43x = 772,754,357.12
  5. Step 5: Solve for x
    x = 772,754,357.12/31,771.43
  6. Step 6: Final answer
    x = 24,322.30

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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.