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Finding the Fourth Proportional to 35,614.38, 49,146.87 and 19,698.30

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Solution

The fourth proportional to 35,614.38, 49,146.87 and 19,698.30 is: 27,183.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,614.38 : 49,146.87 = 19,698.30 : x
  2. Step 2: Convert to fraction form
    35,614.38/49,146.87 = 19,698.30/x
  3. Step 3: Cross multiply
    35,614.38x = 49,146.87 × 19,698.30
  4. Step 4: Simplify right side
    35,614.38x = 968,109,789.32
  5. Step 5: Solve for x
    x = 968,109,789.32/35,614.38
  6. Step 6: Final answer
    x = 27,183.12

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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.