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Finding the Fourth Proportional to 31,090.50, 42,906.71 and 17,662.32

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Solution

The fourth proportional to 31,090.50, 42,906.71 and 17,662.32 is: 24,375.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,090.50 : 42,906.71 = 17,662.32 : x
  2. Step 2: Convert to fraction form
    31,090.50/42,906.71 = 17,662.32/x
  3. Step 3: Cross multiply
    31,090.50x = 42,906.71 × 17,662.32
  4. Step 4: Simplify right side
    31,090.50x = 757,832,086.32
  5. Step 5: Solve for x
    x = 757,832,086.32/31,090.50
  6. Step 6: Final answer
    x = 24,375.04

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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.