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Finding the Fourth Proportional to 31,015.80, 46,523.70 and 27,322.20

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Solution

The fourth proportional to 31,015.80, 46,523.70 and 27,322.20 is: 40,983.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,015.80 : 46,523.70 = 27,322.20 : x
  2. Step 2: Convert to fraction form
    31,015.80/46,523.70 = 27,322.20/x
  3. Step 3: Cross multiply
    31,015.80x = 46,523.70 × 27,322.20
  4. Step 4: Simplify right side
    31,015.80x = 1,271,129,836.14
  5. Step 5: Solve for x
    x = 1,271,129,836.14/31,015.80
  6. Step 6: Final answer
    x = 40,983.30

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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.