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Finding the Fourth Proportional to 49,969.44, 68,955.12 and 27,612

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Solution

The fourth proportional to 49,969.44, 68,955.12 and 27,612 is: 38,103.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,969.44 : 68,955.12 = 27,612 : x
  2. Step 2: Convert to fraction form
    49,969.44/68,955.12 = 27,612/x
  3. Step 3: Cross multiply
    49,969.44x = 68,955.12 × 27,612
  4. Step 4: Simplify right side
    49,969.44x = 1,903,988,773.44
  5. Step 5: Solve for x
    x = 1,903,988,773.44/49,969.44
  6. Step 6: Final answer
    x = 38,103.06

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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.