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Finding the Fourth Proportional to 31,213.20, 46,797.92 and 11,489.20

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Solution

The fourth proportional to 31,213.20, 46,797.92 and 11,489.20 is: 17,225.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,213.20 : 46,797.92 = 11,489.20 : x
  2. Step 2: Convert to fraction form
    31,213.20/46,797.92 = 11,489.20/x
  3. Step 3: Cross multiply
    31,213.20x = 46,797.92 × 11,489.20
  4. Step 4: Simplify right side
    31,213.20x = 537,670,662.46
  5. Step 5: Solve for x
    x = 537,670,662.46/31,213.20
  6. Step 6: Final answer
    x = 17,225.75

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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.