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Finding the Fourth Proportional to 35,569.87, 49,086.07 and 19,654.31

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Solution

The fourth proportional to 35,569.87, 49,086.07 and 19,654.31 is: 27,122.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,569.87 : 49,086.07 = 19,654.31 : x
  2. Step 2: Convert to fraction form
    35,569.87/49,086.07 = 19,654.31/x
  3. Step 3: Cross multiply
    35,569.87x = 49,086.07 × 19,654.31
  4. Step 4: Simplify right side
    35,569.87x = 964,752,910.04
  5. Step 5: Solve for x
    x = 964,752,910.04/35,569.87
  6. Step 6: Final answer
    x = 27,122.76

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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.