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Finding the Fourth Proportional to 34,754.72, 47,961 and 19,646.85

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Solution

The fourth proportional to 34,754.72, 47,961 and 19,646.85 is: 27,112.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,754.72 : 47,961 = 19,646.85 : x
  2. Step 2: Convert to fraction form
    34,754.72/47,961 = 19,646.85/x
  3. Step 3: Cross multiply
    34,754.72x = 47,961 × 19,646.85
  4. Step 4: Simplify right side
    34,754.72x = 942,282,572.85
  5. Step 5: Solve for x
    x = 942,282,572.85/34,754.72
  6. Step 6: Final answer
    x = 27,112.37

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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.