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Finding the Fourth Proportional to 31,147.92, 42,984 and 17,000.82

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Solution

The fourth proportional to 31,147.92, 42,984 and 17,000.82 is: 23,461.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,147.92 : 42,984 = 17,000.82 : x
  2. Step 2: Convert to fraction form
    31,147.92/42,984 = 17,000.82/x
  3. Step 3: Cross multiply
    31,147.92x = 42,984 × 17,000.82
  4. Step 4: Simplify right side
    31,147.92x = 730,763,246.88
  5. Step 5: Solve for x
    x = 730,763,246.88/31,147.92
  6. Step 6: Final answer
    x = 23,461.06

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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.