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Finding the Fourth Proportional to 31,474.08, 43,449.06 and 20,160

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Solution

The fourth proportional to 31,474.08, 43,449.06 and 20,160 is: 27,830.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,474.08 : 43,449.06 = 20,160 : x
  2. Step 2: Convert to fraction form
    31,474.08/43,449.06 = 20,160/x
  3. Step 3: Cross multiply
    31,474.08x = 43,449.06 × 20,160
  4. Step 4: Simplify right side
    31,474.08x = 875,933,049.60
  5. Step 5: Solve for x
    x = 875,933,049.60/31,474.08
  6. Step 6: Final answer
    x = 27,830.30

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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.