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Finding the Fourth Proportional to 31,642.44, 47,469.18 and 14,111.88

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Solution

The fourth proportional to 31,642.44, 47,469.18 and 14,111.88 is: 21,170.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,642.44 : 47,469.18 = 14,111.88 : x
  2. Step 2: Convert to fraction form
    31,642.44/47,469.18 = 14,111.88/x
  3. Step 3: Cross multiply
    31,642.44x = 47,469.18 × 14,111.88
  4. Step 4: Simplify right side
    31,642.44x = 669,879,371.86
  5. Step 5: Solve for x
    x = 669,879,371.86/31,642.44
  6. Step 6: Final answer
    x = 21,170.28

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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.