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Finding the Fourth Proportional to 34,563.96, 47,694.54 and 19,456.38

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Solution

The fourth proportional to 34,563.96, 47,694.54 and 19,456.38 is: 26,847.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,563.96 : 47,694.54 = 19,456.38 : x
  2. Step 2: Convert to fraction form
    34,563.96/47,694.54 = 19,456.38/x
  3. Step 3: Cross multiply
    34,563.96x = 47,694.54 × 19,456.38
  4. Step 4: Simplify right side
    34,563.96x = 927,963,094.17
  5. Step 5: Solve for x
    x = 927,963,094.17/34,563.96
  6. Step 6: Final answer
    x = 26,847.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.