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Finding the Fourth Proportional to 30,744.90, 42,340.73 and 27,694.04

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Solution

The fourth proportional to 30,744.90, 42,340.73 and 27,694.04 is: 38,139.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,744.90 : 42,340.73 = 27,694.04 : x
  2. Step 2: Convert to fraction form
    30,744.90/42,340.73 = 27,694.04/x
  3. Step 3: Cross multiply
    30,744.90x = 42,340.73 × 27,694.04
  4. Step 4: Simplify right side
    30,744.90x = 1,172,585,520.08
  5. Step 5: Solve for x
    x = 1,172,585,520.08/30,744.90
  6. Step 6: Final answer
    x = 38,139.19

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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.