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Finding the Fourth Proportional to 31,771.26, 47,662.17 and 10,989.90

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Solution

The fourth proportional to 31,771.26, 47,662.17 and 10,989.90 is: 16,486.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,771.26 : 47,662.17 = 10,989.90 : x
  2. Step 2: Convert to fraction form
    31,771.26/47,662.17 = 10,989.90/x
  3. Step 3: Cross multiply
    31,771.26x = 47,662.17 × 10,989.90
  4. Step 4: Simplify right side
    31,771.26x = 523,802,482.08
  5. Step 5: Solve for x
    x = 523,802,482.08/31,771.26
  6. Step 6: Final answer
    x = 16,486.68

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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.