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Finding the Fourth Proportional to 34,745.49, 47,947.95 and 19,638.09

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Solution

The fourth proportional to 34,745.49, 47,947.95 and 19,638.09 is: 27,100.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,745.49 : 47,947.95 = 19,638.09 : x
  2. Step 2: Convert to fraction form
    34,745.49/47,947.95 = 19,638.09/x
  3. Step 3: Cross multiply
    34,745.49x = 47,947.95 × 19,638.09
  4. Step 4: Simplify right side
    34,745.49x = 941,606,157.42
  5. Step 5: Solve for x
    x = 941,606,157.42/34,745.49
  6. Step 6: Final answer
    x = 27,100.10

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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.