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Finding the Fourth Proportional to 49,790.31, 68,709.99 and 27,130.24

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Solution

The fourth proportional to 49,790.31, 68,709.99 and 27,130.24 is: 37,439.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,790.31 : 68,709.99 = 27,130.24 : x
  2. Step 2: Convert to fraction form
    49,790.31/68,709.99 = 27,130.24/x
  3. Step 3: Cross multiply
    49,790.31x = 68,709.99 × 27,130.24
  4. Step 4: Simplify right side
    49,790.31x = 1,864,118,519.10
  5. Step 5: Solve for x
    x = 1,864,118,519.10/49,790.31
  6. Step 6: Final answer
    x = 37,439.38

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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.