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Finding the Fourth Proportional to 49,441, 68,228.58 and 27,085

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Solution

The fourth proportional to 49,441, 68,228.58 and 27,085 is: 37,377.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,441 : 68,228.58 = 27,085 : x
  2. Step 2: Convert to fraction form
    49,441/68,228.58 = 27,085/x
  3. Step 3: Cross multiply
    49,441x = 68,228.58 × 27,085
  4. Step 4: Simplify right side
    49,441x = 1,847,971,089.30
  5. Step 5: Solve for x
    x = 1,847,971,089.30/49,441
  6. Step 6: Final answer
    x = 37,377.30

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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.