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Finding the Fourth Proportional to 31,451.86, 43,422.96 and 21,646

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Solution

The fourth proportional to 31,451.86, 43,422.96 and 21,646 is: 29,884.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,451.86 : 43,422.96 = 21,646 : x
  2. Step 2: Convert to fraction form
    31,451.86/43,422.96 = 21,646/x
  3. Step 3: Cross multiply
    31,451.86x = 43,422.96 × 21,646
  4. Step 4: Simplify right side
    31,451.86x = 939,933,392.16
  5. Step 5: Solve for x
    x = 939,933,392.16/31,451.86
  6. Step 6: Final answer
    x = 29,884.83

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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.