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Finding the Fourth Proportional to 31,147.39, 42,983.22 and 17,000.34

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Solution

The fourth proportional to 31,147.39, 42,983.22 and 17,000.34 is: 23,460.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,147.39 : 42,983.22 = 17,000.34 : x
  2. Step 2: Convert to fraction form
    31,147.39/42,983.22 = 17,000.34/x
  3. Step 3: Cross multiply
    31,147.39x = 42,983.22 × 17,000.34
  4. Step 4: Simplify right side
    31,147.39x = 730,729,354.29
  5. Step 5: Solve for x
    x = 730,729,354.29/31,147.39
  6. Step 6: Final answer
    x = 23,460.37

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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.