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Finding the Fourth Proportional to 50,643.11, 69,890.78 and 27,982.10

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Solution

The fourth proportional to 50,643.11, 69,890.78 and 27,982.10 is: 38,617.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,643.11 : 69,890.78 = 27,982.10 : x
  2. Step 2: Convert to fraction form
    50,643.11/69,890.78 = 27,982.10/x
  3. Step 3: Cross multiply
    50,643.11x = 69,890.78 × 27,982.10
  4. Step 4: Simplify right side
    50,643.11x = 1,955,690,305.67
  5. Step 5: Solve for x
    x = 1,955,690,305.67/50,643.11
  6. Step 6: Final answer
    x = 38,617.11

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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.