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Finding the Fourth Proportional to 31,412.90, 43,344.57 and 20,816.90

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Solution

The fourth proportional to 31,412.90, 43,344.57 and 20,816.90 is: 28,723.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,412.90 : 43,344.57 = 20,816.90 : x
  2. Step 2: Convert to fraction form
    31,412.90/43,344.57 = 20,816.90/x
  3. Step 3: Cross multiply
    31,412.90x = 43,344.57 × 20,816.90
  4. Step 4: Simplify right side
    31,412.90x = 902,299,579.23
  5. Step 5: Solve for x
    x = 902,299,579.23/31,412.90
  6. Step 6: Final answer
    x = 28,723.85

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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.