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Finding the Fourth Proportional to 31,147, 42,983.40 and 17,000.20

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Solution

The fourth proportional to 31,147, 42,983.40 and 17,000.20 is: 23,460.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,147 : 42,983.40 = 17,000.20 : x
  2. Step 2: Convert to fraction form
    31,147/42,983.40 = 17,000.20/x
  3. Step 3: Cross multiply
    31,147x = 42,983.40 × 17,000.20
  4. Step 4: Simplify right side
    31,147x = 730,726,396.68
  5. Step 5: Solve for x
    x = 730,726,396.68/31,147
  6. Step 6: Final answer
    x = 23,460.57

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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.