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Finding the Fourth Proportional to 34,091.92, 47,047.20 and 19,942

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Solution

The fourth proportional to 34,091.92, 47,047.20 and 19,942 is: 27,520.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,091.92 : 47,047.20 = 19,942 : x
  2. Step 2: Convert to fraction form
    34,091.92/47,047.20 = 19,942/x
  3. Step 3: Cross multiply
    34,091.92x = 47,047.20 × 19,942
  4. Step 4: Simplify right side
    34,091.92x = 938,215,262.40
  5. Step 5: Solve for x
    x = 938,215,262.40/34,091.92
  6. Step 6: Final answer
    x = 27,520.16

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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.