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Finding the Fourth Proportional to 35,579.90, 49,096.86 and 19,661.78

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Solution

The fourth proportional to 35,579.90, 49,096.86 and 19,661.78 is: 27,131.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,579.90 : 49,096.86 = 19,661.78 : x
  2. Step 2: Convert to fraction form
    35,579.90/49,096.86 = 19,661.78/x
  3. Step 3: Cross multiply
    35,579.90x = 49,096.86 × 19,661.78
  4. Step 4: Simplify right side
    35,579.90x = 965,331,660.01
  5. Step 5: Solve for x
    x = 965,331,660.01/35,579.90
  6. Step 6: Final answer
    x = 27,131.38

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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.