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Finding the Fourth Proportional to 31,261.68, 43,140.60 and 17,114.22

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Solution

The fourth proportional to 31,261.68, 43,140.60 and 17,114.22 is: 23,617.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,261.68 : 43,140.60 = 17,114.22 : x
  2. Step 2: Convert to fraction form
    31,261.68/43,140.60 = 17,114.22/x
  3. Step 3: Cross multiply
    31,261.68x = 43,140.60 × 17,114.22
  4. Step 4: Simplify right side
    31,261.68x = 738,317,719.33
  5. Step 5: Solve for x
    x = 738,317,719.33/31,261.68
  6. Step 6: Final answer
    x = 23,617.34

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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.