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Finding the Fourth Proportional to 34,142.97, 47,127.72 and 19,806.44

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Solution

The fourth proportional to 34,142.97, 47,127.72 and 19,806.44 is: 27,338.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,142.97 : 47,127.72 = 19,806.44 : x
  2. Step 2: Convert to fraction form
    34,142.97/47,127.72 = 19,806.44/x
  3. Step 3: Cross multiply
    34,142.97x = 47,127.72 × 19,806.44
  4. Step 4: Simplify right side
    34,142.97x = 933,432,122.88
  5. Step 5: Solve for x
    x = 933,432,122.88/34,142.97
  6. Step 6: Final answer
    x = 27,338.93

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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.