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Finding the Fourth Proportional to 31,215.38, 46,824.44 and 9,031

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Solution

The fourth proportional to 31,215.38, 46,824.44 and 9,031 is: 13,546.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,215.38 : 46,824.44 = 9,031 : x
  2. Step 2: Convert to fraction form
    31,215.38/46,824.44 = 9,031/x
  3. Step 3: Cross multiply
    31,215.38x = 46,824.44 × 9,031
  4. Step 4: Simplify right side
    31,215.38x = 422,871,517.64
  5. Step 5: Solve for x
    x = 422,871,517.64/31,215.38
  6. Step 6: Final answer
    x = 13,546.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.