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Finding the Fourth Proportional to 31,480.44, 47,215.18 and 11,759.16

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Solution

The fourth proportional to 31,480.44, 47,215.18 and 11,759.16 is: 17,636.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,480.44 : 47,215.18 = 11,759.16 : x
  2. Step 2: Convert to fraction form
    31,480.44/47,215.18 = 11,759.16/x
  3. Step 3: Cross multiply
    31,480.44x = 47,215.18 × 11,759.16
  4. Step 4: Simplify right side
    31,480.44x = 555,210,856.05
  5. Step 5: Solve for x
    x = 555,210,856.05/31,480.44
  6. Step 6: Final answer
    x = 17,636.69

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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.