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Finding the Fourth Proportional to 31,224.34, 43,090.50 and 17,078.14

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Solution

The fourth proportional to 31,224.34, 43,090.50 and 17,078.14 is: 23,568.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,224.34 : 43,090.50 = 17,078.14 : x
  2. Step 2: Convert to fraction form
    31,224.34/43,090.50 = 17,078.14/x
  3. Step 3: Cross multiply
    31,224.34x = 43,090.50 × 17,078.14
  4. Step 4: Simplify right side
    31,224.34x = 735,905,591.67
  5. Step 5: Solve for x
    x = 735,905,591.67/31,224.34
  6. Step 6: Final answer
    x = 23,568.33

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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.